89121864 has 64 divisors (see below), whose sum is σ = 245831040. Its totient is φ = 26749440.

The previous prime is 89121821. The next prime is 89121887. The reversal of 89121864 is 46812198.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 9309 + ... + 16275.

It is an arithmetic number, because the mean of its divisors is an integer number (3841110).

Almost surely, 2^89121864 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 89121864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122915520).

89121864 is an abundant number, since it is smaller than the sum of its proper divisors (156709176).

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

89121864 is a wasteful number, since it uses less digits than its factorization.

89121864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7026 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 89121864 is about 9440.4377017170. The cubic root of 89121864 is about 446.6781962817.

The spelling of 89121864 in words is "eighty-nine million, one hundred twenty-one thousand, eight hundred sixty-four".