87862500 has 216 divisors, whose sum is σ = 307105344. Its totient is φ = 21000000.

The previous prime is 87862447. The next prime is 87862513. The reversal of 87862500 is 526878.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1237465 + ... + 1237535.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^87862500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87862500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

87862500 is an abundant number, since it is smaller than the sum of its proper divisors (219242844).

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

87862500 is a wasteful number, since it uses less digits than its factorization.

87862500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 87862500 is about 9373.4998799808. The cubic root of 87862500 is about 444.5642327576.

The spelling of 87862500 in words is "eighty-seven million, eight hundred sixty-two thousand, five hundred".