88845200 has 30 divisors (see below), whose sum is σ = 213451554. Its totient is φ = 35537920.

The previous prime is 88845199. The next prime is 88845271. The reversal of 88845200 is 254888.

It can be written as a sum of positive squares in 3 ways, for example, as 17205904 + 71639296 = 4148^2 + 8464^2 .

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 5 ways as a sum of consecutive naturals, for example, 110657 + ... + 111456.

Almost surely, 2^88845200 is an apocalyptic number.

88845200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88845200 is an abundant number, since it is smaller than the sum of its proper divisors (124606354).

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

88845200 is a wasteful number, since it uses less digits than its factorization.

88845200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222131 (or 222120 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 88845200 is about 9425.7731778353. The cubic root of 88845200 is about 446.2155044514.

The spelling of 88845200 in words is "eighty-eight million, eight hundred forty-five thousand, two hundred".