89805600 has 108 divisors (see below), whose sum is σ = 316702386. Its totient is φ = 23946240.

The previous prime is 89805587. The next prime is 89805601. The reversal of 89805600 is 650898.

89805600 is a `hidden beast` number, since 8 + 98 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 74028816 + 15776784 = 8604^2 + 3972^2 .

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

It is not an unprimeable number, because it can be changed into a prime (89805601) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 964 + ... + 13436.

Almost surely, 2^89805600 is an apocalyptic number.

89805600 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 89805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158351193).

89805600 is an abundant number, since it is smaller than the sum of its proper divisors (226896786).

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

89805600 is a wasteful number, since it uses less digits than its factorization.

89805600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12499 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 89805600 is about 9476.5816621818. The cubic root of 89805600 is about 447.8175809188.

The spelling of 89805600 in words is "eighty-nine million, eight hundred five thousand, six hundred".