872591616 has 324 divisors, whose sum is σ = 2859253488. Its totient is φ = 265254912.

The previous prime is 872591611. The next prime is 872591617. The reversal of 872591616 is 616195278.

872591616 is a `hidden beast` number, since 8 + 7 + 25 + 9 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×872591616² = 1522832256626982912, which contains 22 as substring.

Its product of digits (181440) is a multiple of the sum of its prime factors (140).

It is not an unprimeable number, because it can be changed into a prime (872591611) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10513111 + ... + 10513193.

Almost surely, 2^872591616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872591616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429626744).

872591616 is an abundant number, since it is smaller than the sum of its proper divisors (1986661872).

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

872591616 is an equidigital number, since it uses as much as digits as its factorization.

872591616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 872591616 is about 29539.6617448474. The cubic root of 872591616 is about 955.5872473434.

The spelling of 872591616 in words is "eight hundred seventy-two million, five hundred ninety-one thousand, six hundred sixteen".