88915200 has 216 divisors, whose sum is σ = 320875296. Its totient is φ = 21504000.

The previous prime is 88915199. The next prime is 88915273. The reversal of 88915200 is 251988.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210990 + ... + 211410.

Almost surely, 2^88915200 is an apocalyptic number.

88915200 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 88915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160437648).

88915200 is an abundant number, since it is smaller than the sum of its proper divisors (231960096).

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

88915200 is a wasteful number, since it uses less digits than its factorization.

88915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 88915200 is about 9429.4856699610. The cubic root of 88915200 is about 446.3326628560.

The spelling of 88915200 in words is "eighty-eight million, nine hundred fifteen thousand, two hundred".