87864000 has 224 divisors, whose sum is σ = 332207616. Its totient is φ = 20044800.

The previous prime is 87863981. The next prime is 87864017. The reversal of 87864000 is 46878.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167739 + ... + 168261.

Almost surely, 2^87864000 is an apocalyptic number.

87864000 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 87864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166103808).

87864000 is an abundant number, since it is smaller than the sum of its proper divisors (244343616).

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

87864000 is a wasteful number, since it uses less digits than its factorization.

87864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 87864000 is about 9373.5798924424. The cubic root of 87864000 is about 444.5667626293.

The spelling of 87864000 in words is "eighty-seven million, eight hundred sixty-four thousand".