87868100 has 18 divisors (see below), whose sum is σ = 190673994. Its totient is φ = 35147200.

The previous prime is 87868093. The next prime is 87868127. The reversal of 87868100 is 186878.

It can be written as a sum of positive squares in 3 ways, for example, as 295936 + 87572164 = 544^2 + 9358^2 .

It is a super-2 number, since 2×87868100² = 15441605995220000, which contains 22 as substring.

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, 439241 + ... + 439440.

Almost surely, 2^87868100 is an apocalyptic number.

It is an amenable number.

87868100 is an abundant number, since it is smaller than the sum of its proper divisors (102805894).

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

87868100 is a wasteful number, since it uses less digits than its factorization.

87868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878695 (or 878688 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 87868100 is about 9373.7985896860. The cubic root of 87868100 is about 444.5736774650.

The spelling of 87868100 in words is "eighty-seven million, eight hundred sixty-eight thousand, one hundred".