88969200 has 120 divisors (see below), whose sum is σ = 287469696. Its totient is φ = 23520000.

The previous prime is 88969189. The next prime is 88969213. The reversal of 88969200 is 296988.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180955 + ... + 181445.

Almost surely, 2^88969200 is an apocalyptic number.

88969200 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 88969200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143734848).

88969200 is an abundant number, since it is smaller than the sum of its proper divisors (198500496).

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

88969200 is a wasteful number, since it uses less digits than its factorization.

88969200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 88969200 is about 9432.3485940671. The cubic root of 88969200 is about 446.4230001895.

The spelling of 88969200 in words is "eighty-eight million, nine hundred sixty-nine thousand, two hundred".