89385400 has 96 divisors (see below), whose sum is σ = 231235200. Its totient is φ = 31910400.

The previous prime is 89385397. The next prime is 89385421. The reversal of 89385400 is 458398.

It is a self number, because there is not a number n which added to its sum of digits gives 89385400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80046 + ... + 81154.

It is an arithmetic number, because the mean of its divisors is an integer number (2408700).

Almost surely, 2^89385400 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 89385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115617600).

89385400 is an abundant number, since it is smaller than the sum of its proper divisors (141849800).

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

89385400 is a wasteful number, since it uses less digits than its factorization.

89385400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 89385400 is about 9454.3852259150. The cubic root of 89385400 is about 447.1180432523.

The spelling of 89385400 in words is "eighty-nine million, three hundred eighty-five thousand, four hundred".