87201900 has 72 divisors (see below), whose sum is σ = 280346640. Its totient is φ = 23253120.

The previous prime is 87201871. The next prime is 87201911. The reversal of 87201900 is 910278.

It is a super-2 number, since 2×87201900² = 15208342727220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13449 + ... + 18848.

Almost surely, 2^87201900 is an apocalyptic number.

It is an amenable number.

87201900 is an abundant number, since it is smaller than the sum of its proper divisors (193144740).

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

87201900 is a wasteful number, since it uses less digits than its factorization.

87201900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32320 (or 32307 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 87201900 is about 9338.1957572113. The cubic root of 87201900 is about 443.4472669027.

The spelling of 87201900 in words is "eighty-seven million, two hundred one thousand, nine hundred".