89812800 has 588 divisors, whose sum is σ = 413101536. Its totient is φ = 18662400.

The previous prime is 89812787. The next prime is 89812813. The reversal of 89812800 is 821898.

It is an interprime number because it is at equal distance from previous prime (89812787) and next prime (89812813).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8164795 + ... + 8164805.

Almost surely, 2^89812800 is an apocalyptic number.

89812800 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 89812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206550768).

89812800 is an abundant number, since it is smaller than the sum of its proper divisors (323288736).

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

89812800 is a wasteful number, since it uses less digits than its factorization.

89812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 89812800 is about 9476.9615383835. The cubic root of 89812800 is about 447.8295482512.

It can be divided in two parts, 8981 and 2800, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 89812800 in words is "eighty-nine million, eight hundred twelve thousand, eight hundred".