88983600 has 120 divisors (see below), whose sum is σ = 294988560. Its totient is φ = 22901760.

The previous prime is 88983599. The next prime is 88983611. The reversal of 88983600 is 638988.

It is a tau number, because it is divible by the number of its divisors (120).

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, 33522 + ... + 36078.

It is an arithmetic number, because the mean of its divisors is an integer number (2458238).

Almost surely, 2^88983600 is an apocalyptic number.

88983600 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 88983600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147494280).

88983600 is an abundant number, since it is smaller than the sum of its proper divisors (206004960).

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

88983600 is a wasteful number, since it uses less digits than its factorization.

88983600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 88983600 is about 9433.1118937496. Note that the first 3 decimals coincide. The cubic root of 88983600 is about 446.4470839714.

The spelling of 88983600 in words is "eighty-eight million, nine hundred eighty-three thousand, six hundred".