87637200 has 120 divisors (see below), whose sum is σ = 320866368. Its totient is φ = 20029440.

The previous prime is 87637163. The next prime is 87637211. The reversal of 87637200 is 273678.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3184 + ... + 13616.

Almost surely, 2^87637200 is an apocalyptic number.

87637200 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 87637200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160433184).

87637200 is an abundant number, since it is smaller than the sum of its proper divisors (233229168).

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

87637200 is a wasteful number, since it uses less digits than its factorization.

87637200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 87637200 is about 9361.4742428744. The cubic root of 87637200 is about 444.1839186103.

The spelling of 87637200 in words is "eighty-seven million, six hundred thirty-seven thousand, two hundred".