88968800 has 36 divisors (see below), whose sum is σ = 217197036. Its totient is φ = 35587200.

The previous prime is 88968793. The next prime is 88968809. The reversal of 88968800 is 886988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88968809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54806 + ... + 56405.

It is an arithmetic number, because the mean of its divisors is an integer number (6033251).

Almost surely, 2^88968800 is an apocalyptic number.

88968800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88968800 is an abundant number, since it is smaller than the sum of its proper divisors (128228236).

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

88968800 is a wasteful number, since it uses less digits than its factorization.

88968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111231 (or 111218 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The square root of 88968800 is about 9432.3273904164. The cubic root of 88968800 is about 446.4223311585.

The spelling of 88968800 in words is "eighty-eight million, nine hundred sixty-eight thousand, eight hundred".