87538800 has 60 divisors (see below), whose sum is σ = 280419800. Its totient is φ = 23343360.

The previous prime is 87538793. The next prime is 87538819. The reversal of 87538800 is 883578.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35275 + ... + 37674.

Almost surely, 2^87538800 is an apocalyptic number.

87538800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87538800 is an abundant number, since it is smaller than the sum of its proper divisors (192881000).

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

87538800 is a wasteful number, since it uses less digits than its factorization.

87538800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72970 (or 72959 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 87538800 is about 9356.2171843112. The cubic root of 87538800 is about 444.0176115082.

The spelling of 87538800 in words is "eighty-seven million, five hundred thirty-eight thousand, eight hundred".