89632800 has 216 divisors, whose sum is σ = 322948080. Its totient is φ = 23385600.

The previous prime is 89632799. The next prime is 89632841. The reversal of 89632800 is 823698.

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

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 35 ways as a sum of consecutive naturals, for example, 424695 + ... + 424905.

It is an arithmetic number, because the mean of its divisors is an integer number (1495130).

Almost surely, 2^89632800 is an apocalyptic number.

89632800 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 89632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161474040).

89632800 is an abundant number, since it is smaller than the sum of its proper divisors (233315280).

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

89632800 is a wasteful number, since it uses less digits than its factorization.

89632800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89632800 is about 9467.4600606498. The cubic root of 89632800 is about 447.5301728456.

The spelling of 89632800 in words is "eighty-nine million, six hundred thirty-two thousand, eight hundred".