87932592 has 120 divisors (see below), whose sum is σ = 274916928. Its totient is φ = 26006400.

The previous prime is 87932591. The next prime is 87932617. The reversal of 87932592 is 29523978.

It is not an unprimeable number, because it can be changed into a prime (87932591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67467 + ... + 68757.

Almost surely, 2^87932592 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 87932592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137458464).

87932592 is an abundant number, since it is smaller than the sum of its proper divisors (186984336).

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

87932592 is a wasteful number, since it uses less digits than its factorization.

87932592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1350 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 87932592 is about 9377.2379728788. The cubic root of 87932592 is about 444.6824178530.

The spelling of 87932592 in words is "eighty-seven million, nine hundred thirty-two thousand, five hundred ninety-two".