87811200 has 144 divisors (see below), whose sum is σ = 313433250. Its totient is φ = 23408640.

The previous prime is 87811187. The next prime is 87811223. The reversal of 87811200 is 211878.

It can be written as a sum of positive squares in 3 ways, for example, as 46131264 + 41679936 = 6792^2 + 6456^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27276 + ... + 30324.

Almost surely, 2^87811200 is an apocalyptic number.

87811200 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 87811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156716625).

87811200 is an abundant number, since it is smaller than the sum of its proper divisors (225622050).

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

87811200 is a wasteful number, since it uses less digits than its factorization.

87811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 87811200 is about 9370.7630425702. The cubic root of 87811200 is about 444.4776938088.

The spelling of 87811200 in words is "eighty-seven million, eight hundred eleven thousand, two hundred".