89640600 has 144 divisors (see below), whose sum is σ = 323361000. Its totient is φ = 20482560.

The previous prime is 89640571. The next prime is 89640611. The reversal of 89640600 is 604698.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27876 + ... + 30924.

Almost surely, 2^89640600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161680500).

89640600 is an abundant number, since it is smaller than the sum of its proper divisors (233720400).

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

89640600 is a wasteful number, since it uses less digits than its factorization.

89640600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 89640600 is about 9467.8719889952. The cubic root of 89640600 is about 447.5431540835.

The spelling of 89640600 in words is "eighty-nine million, six hundred forty thousand, six hundred".