1615968 has 72 divisors (see below), whose sum is σ = 4769856. Its totient is φ = 518400.

The previous prime is 1615963. The next prime is 1615981. The reversal of 1615968 is 8695161.

1615968 is a `hidden beast` number, since 1 + 61 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1615968² = 5222705154048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1615963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8838 + ... + 9018.

It is an arithmetic number, because the mean of its divisors is an integer number (66248).

2^1615968 is an apocalyptic number.

1615968 is a gapful number since it is divisible by the number (18) 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 1615968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384928).

1615968 is an abundant number, since it is smaller than the sum of its proper divisors (3153888).

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

1615968 is a wasteful number, since it uses less digits than its factorization.

1615968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1615968 is about 1271.2073001678. The cubic root of 1615968 is about 117.3485115810.

It can be divided in two parts, 161596 and 8, that added together give a square (161604 = 402²).

The spelling of 1615968 in words is "one million, six hundred fifteen thousand, nine hundred sixty-eight".