88336800 has 108 divisors (see below), whose sum is σ = 311523030. Its totient is φ = 23554560.

The previous prime is 88336793. The next prime is 88336841. The reversal of 88336800 is 863388.

It can be written as a sum of positive squares in 3 ways, for example, as 82519056 + 5817744 = 9084^2 + 2412^2 .

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 17 ways as a sum of consecutive naturals, for example, 1066 + ... + 13334.

Almost surely, 2^88336800 is an apocalyptic number.

88336800 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 88336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155761515).

88336800 is an abundant number, since it is smaller than the sum of its proper divisors (223186230).

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

88336800 is a wasteful number, since it uses less digits than its factorization.

88336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12295 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 88336800 is about 9398.7658764329. The cubic root of 88336800 is about 445.3627476079.

The spelling of 88336800 in words is "eighty-eight million, three hundred thirty-six thousand, eight hundred".