87636900 has 144 divisors (see below), whose sum is σ = 285231744. Its totient is φ = 20613120.

The previous prime is 87636851. The next prime is 87636919. The reversal of 87636900 is 963678.

It is a super-2 number, since 2×87636900² = 15360452483220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89212 + ... + 90188.

It is an arithmetic number, because the mean of its divisors is an integer number (1980776).

Almost surely, 2^87636900 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 87636900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142615872).

87636900 is an abundant number, since it is smaller than the sum of its proper divisors (197594844).

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

87636900 is a wasteful number, since it uses less digits than its factorization.

87636900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 87636900 is about 9361.4582197433. The cubic root of 87636900 is about 444.1834117657.

The spelling of 87636900 in words is "eighty-seven million, six hundred thirty-six thousand, nine hundred".