88899200 has 96 divisors (see below), whose sum is σ = 236612460. Its totient is φ = 32808960.

The previous prime is 88899133. The next prime is 88899203. The reversal of 88899200 is 299888.

It can be written as a sum of positive squares in 6 ways, for example, as 2334784 + 86564416 = 1528^2 + 9304^2 .

It is not an unprimeable number, because it can be changed into a prime (88899203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40532 + ... + 42668.

Almost surely, 2^88899200 is an apocalyptic number.

88899200 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 88899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118306230).

88899200 is an abundant number, since it is smaller than the sum of its proper divisors (147713260).

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

88899200 is a wasteful number, since it uses less digits than its factorization.

88899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 88899200 is about 9428.6372292076. The cubic root of 88899200 is about 446.3058892147.

The spelling of 88899200 in words is "eighty-eight million, eight hundred ninety-nine thousand, two hundred".