87913600 has 96 divisors (see below), whose sum is σ = 220454640. Its totient is φ = 34636800.

The previous prime is 87913537. The next prime is 87913601. The reversal of 87913600 is 631978.

It is not an unprimeable number, because it can be changed into a prime (87913601) 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, 265435 + ... + 265765.

Almost surely, 2^87913600 is an apocalyptic number.

87913600 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 87913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110227320).

87913600 is an abundant number, since it is smaller than the sum of its proper divisors (132541040).

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

87913600 is a wasteful number, since it uses less digits than its factorization.

87913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 87913600 is about 9376.2252532669. The cubic root of 87913600 is about 444.6504008410.

The spelling of 87913600 in words is "eighty-seven million, nine hundred thirteen thousand, six hundred".