1613208672 has 72 divisors (see below), whose sum is σ = 4604005224. Its totient is φ = 535809024.

The previous prime is 1613208671. The next prime is 1613208689. The reversal of 1613208672 is 2768023161.

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

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 (1613208671) 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, 71608 + ... + 91400.

It is an arithmetic number, because the mean of its divisors is an integer number (63944517).

Almost surely, 2^1613208672 is an apocalyptic number.

1613208672 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 1613208672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302002612).

1613208672 is an abundant number, since it is smaller than the sum of its proper divisors (2990796552).

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

1613208672 is a wasteful number, since it uses less digits than its factorization.

1613208672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20092 (or 20081 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1613208672 is about 40164.7690395451. The cubic root of 1613208672 is about 1172.8168115059.

The spelling of 1613208672 in words is "one billion, six hundred thirteen million, two hundred eight thousand, six hundred seventy-two".