89406864 has 60 divisors (see below), whose sum is σ = 251589676. Its totient is φ = 29638656.

The previous prime is 89406841. The next prime is 89406871. The reversal of 89406864 is 46860498.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 36000000 = 7308^2 + 6000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26184 + ... + 29400.

Almost surely, 2^89406864 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 89406864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125794838).

89406864 is an abundant number, since it is smaller than the sum of its proper divisors (162182812).

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

89406864 is a wasteful number, since it uses less digits than its factorization.

89406864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 89406864 is about 9455.5202924006. The cubic root of 89406864 is about 447.1538290130.

The spelling of 89406864 in words is "eighty-nine million, four hundred six thousand, eight hundred sixty-four".