89529264 has 120 divisors (see below), whose sum is σ = 282906000. Its totient is φ = 26181120.

The previous prime is 89529257. The next prime is 89529299. The reversal of 89529264 is 46292598.

It is a super-2 number, since 2×89529264² = 16030978224763392, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 44962 + ... + 46910.

It is an arithmetic number, because the mean of its divisors is an integer number (2357550).

Almost surely, 2^89529264 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 89529264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141453000).

89529264 is an abundant number, since it is smaller than the sum of its proper divisors (193376736).

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

89529264 is a wasteful number, since it uses less digits than its factorization.

89529264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1994 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 89529264 is about 9461.9904882641. The cubic root of 89529264 is about 447.3577905022.

The spelling of 89529264 in words is "eighty-nine million, five hundred twenty-nine thousand, two hundred sixty-four".