88736400 has 135 divisors (see below), whose sum is σ = 309913851. Its totient is φ = 23512320.

The previous prime is 88736377. The next prime is 88736411. The reversal of 88736400 is 463788.

The square root of 88736400 is 9420.

It is a perfect power (a square), and thus also a powerful number.

88736400 is a `hidden beast` number, since 8 + 8 + 7 + 3 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10732176 + 78004224 = 3276^2 + 8832^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 565122 + ... + 565278.

Almost surely, 2^88736400 is an apocalyptic number.

88736400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88736400 is the 9420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88736400

88736400 is an abundant number, since it is smaller than the sum of its proper divisors (221177451).

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

88736400 is a wasteful number, since it uses less digits than its factorization.

88736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 88736400 is about 446.0332845986.

Multiplying 88736400 by its sum of digits (36), we get a square (3194510400 = 56520²).

88736400 divided by its sum of digits (36) gives a square (2464900 = 1570²).

The spelling of 88736400 in words is "eighty-eight million, seven hundred thirty-six thousand, four hundred".