88972800 has 240 divisors, whose sum is σ = 336918912. Its totient is φ = 20275200.

The previous prime is 88972789. The next prime is 88972811. The reversal of 88972800 is 827988.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88972789) and next prime (88972811).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 268635 + ... + 268965.

Almost surely, 2^88972800 is an apocalyptic number.

88972800 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 88972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168459456).

88972800 is an abundant number, since it is smaller than the sum of its proper divisors (247946112).

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

88972800 is a wasteful number, since it uses less digits than its factorization.

88972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 88972800 is about 9432.5394247785. The cubic root of 88972800 is about 446.4290213786.

The spelling of 88972800 in words is "eighty-eight million, nine hundred seventy-two thousand, eight hundred".