87914800 has 30 divisors (see below), whose sum is σ = 211216268. Its totient is φ = 35165760.

The previous prime is 87914789. The next prime is 87914873. The reversal of 87914800 is 841978.

It is a self number, because there is not a number n which added to its sum of digits gives 87914800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109494 + ... + 110293.

Almost surely, 2^87914800 is an apocalyptic number.

87914800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87914800 is an abundant number, since it is smaller than the sum of its proper divisors (123301468).

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

87914800 is a wasteful number, since it uses less digits than its factorization.

87914800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219805 (or 219794 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 87914800 is about 9376.2892446852. The cubic root of 87914800 is about 444.6524239563.

The spelling of 87914800 in words is "eighty-seven million, nine hundred fourteen thousand, eight hundred".