89064360 has 576 divisors, whose sum is σ = 403341120. Its totient is φ = 17418240.

The previous prime is 89064359. The next prime is 89064383. The reversal of 89064360 is 6346098.

89064360 is a `hidden beast` number, since 8 + 9 + 0 + 643 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5239072 + ... + 5239088.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 2^89064360 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 89064360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

89064360 is an abundant number, since it is smaller than the sum of its proper divisors (314276760).

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

89064360 is a wasteful number, since it uses less digits than its factorization.

89064360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 89064360 is about 9437.3915887813. The cubic root of 89064360 is about 446.5821057220.

The spelling of 89064360 in words is "eighty-nine million, sixty-four thousand, three hundred sixty".