1613472 has 72 divisors (see below), whose sum is σ = 4941216. Its totient is φ = 460992.

The previous prime is 1613471. The next prime is 1613483. The reversal of 1613472 is 2743161.

Multipling 1613472 by its product of digits (1008), we get a cube (1626379776 = 1176^{3}).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as **1** + **6**^{2} + **1** + **3**^{13} + **4**^{4} + **7**^{5} + **2**^{11} .

Its product of digits (1008) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1613471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230493 + ... + 230499.

It is an arithmetic number, because the mean of its divisors is an integer number (68628).

2^{1613472} is an apocalyptic number.

1613472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1613472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470608).

1613472 is an abundant number, since it is smaller than the sum of its proper divisors (3327744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1613472 is an frugal number, since it uses more digits than its factorization.

1613472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 12 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 1613472 is about 1270.2251768879. The cubic root of 1613472 is about 117.2880621954.

The spelling of 1613472 in words is "one million, six hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2401 2744 4116 4704 4802 5488 7203 8232 9604 10976 14406 16464 16807 19208 28812 32928 33614 38416 50421 57624 67228 76832 100842 115248 134456 201684 230496 268912 403368 537824 806736 1613472

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