88848800 has 144 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 32501760.

The previous prime is 88848797. The next prime is 88848827. The reversal of 88848800 is 884888.

It is a super-2 number, since 2×88848800² = 15788218522880000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 639131 + ... + 639269.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^88848800 is an apocalyptic number.

88848800 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 88848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

88848800 is an abundant number, since it is smaller than the sum of its proper divisors (147386080).

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

88848800 is a wasteful number, since it uses less digits than its factorization.

88848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 44.

The square root of 88848800 is about 9425.9641416674. The cubic root of 88848800 is about 446.2215312415.

The spelling of 88848800 in words is "eighty-eight million, eight hundred forty-eight thousand, eight hundred".