89264084 has 72 divisors (see below), whose sum is σ = 199688328. Its totient is φ = 34594560.

The previous prime is 89264083. The next prime is 89264099. The reversal of 89264084 is 48046298.

It can be written as a sum of positive squares in 4 ways, for example, as 18232900 + 71031184 = 4270^2 + 8428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89264083) by changing a digit.

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, 134714 + ... + 135374.

It is an arithmetic number, because the mean of its divisors is an integer number (2773449).

Almost surely, 2^89264084 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 89264084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99844164).

89264084 is an abundant number, since it is smaller than the sum of its proper divisors (110424244).

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

89264084 is a wasteful number, since it uses less digits than its factorization.

89264084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 89264084 is about 9447.9671887661. The cubic root of 89264084 is about 446.9156719074.

The spelling of 89264084 in words is "eighty-nine million, two hundred sixty-four thousand, eighty-four".