87297600 has 168 divisors, whose sum is σ = 308660800. Its totient is φ = 21473280.

The previous prime is 87297589. The next prime is 87297619. The reversal of 87297600 is 679278.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61701 + ... + 63099.

Almost surely, 2^87297600 is an apocalyptic number.

87297600 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 87297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154330400).

87297600 is an abundant number, since it is smaller than the sum of its proper divisors (221363200).

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

87297600 is a wasteful number, since it uses less digits than its factorization.

87297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 87297600 is about 9343.3184682959. The cubic root of 87297600 is about 443.6094284625.

The spelling of 87297600 in words is "eighty-seven million, two hundred ninety-seven thousand, six hundred".