87156900 has 108 divisors (see below), whose sum is σ = 275927652. Its totient is φ = 23009280.

The previous prime is 87156893. The next prime is 87156907. The reversal of 87156900 is 965178.

It is an interprime number because it is at equal distance from previous prime (87156893) and next prime (87156907).

It can be written as a sum of positive squares in 6 ways, for example, as 3873024 + 83283876 = 1968^2 + 9126^2 .

It is a super-2 number, since 2×87156900² = 15192650435220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (87156907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101272 + ... + 102128.

Almost surely, 2^87156900 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 87156900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137963826).

87156900 is an abundant number, since it is smaller than the sum of its proper divisors (188770752).

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

87156900 is a wasteful number, since it uses less digits than its factorization.

87156900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 87156900 is about 9335.7859872643. The cubic root of 87156900 is about 443.3709743732.

The spelling of 87156900 in words is "eighty-seven million, one hundred fifty-six thousand, nine hundred".