87097600 has 108 divisors (see below), whose sum is σ = 223041280. Its totient is φ = 33638400.

The previous prime is 87097589. The next prime is 87097607. The reversal of 87097600 is 679078.

It is a self number, because there is not a number n which added to its sum of digits gives 87097600.

It is not an unprimeable number, because it can be changed into a prime (87097607) 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, 198181 + ... + 198619.

Almost surely, 2^87097600 is an apocalyptic number.

87097600 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 87097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111520640).

87097600 is an abundant number, since it is smaller than the sum of its proper divisors (135943680).

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

87097600 is a wasteful number, since it uses less digits than its factorization.

87097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 87097600 is about 9332.6094957413. The cubic root of 87097600 is about 443.2703976590.

The spelling of 87097600 in words is "eighty-seven million, ninety-seven thousand, six hundred".