89331264 has 168 divisors, whose sum is σ = 291949632. Its totient is φ = 25850880.

The previous prime is 89331259. The next prime is 89331271. The reversal of 89331264 is 46213398.

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

It is a nude number because it is divisible by every one of its digits.

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, 145422 + ... + 146034.

Almost surely, 2^89331264 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 89331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145974816).

89331264 is an abundant number, since it is smaller than the sum of its proper divisors (202618368).

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

89331264 is a wasteful number, since it uses less digits than its factorization.

89331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

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

The square root of 89331264 is about 9451.5217822317. The cubic root of 89331264 is about 447.0277597883.

The spelling of 89331264 in words is "eighty-nine million, three hundred thirty-one thousand, two hundred sixty-four".