87592320 has 256 divisors, whose sum is σ = 320932800. Its totient is φ = 22560768.

The previous prime is 87592301. The next prime is 87592321. The reversal of 87592320 is 2329578.

It is a happy number.

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 (87592321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639292 + ... + 639428.

Almost surely, 2^87592320 is an apocalyptic number.

87592320 is a gapful number since it is divisible by the number (80) 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 87592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160466400).

87592320 is an abundant number, since it is smaller than the sum of its proper divisors (233340480).

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

87592320 is a wasteful number, since it uses less digits than its factorization.

87592320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 87592320 is about 9359.0768775558. The cubic root of 87592320 is about 444.1080817959.

The spelling of 87592320 in words is "eighty-seven million, five hundred ninety-two thousand, three hundred twenty".