89991264 has 96 divisors (see below), whose sum is σ = 266112000. Its totient is φ = 26380800.

The previous prime is 89991259. The next prime is 89991283. The reversal of 89991264 is 46219998.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×89991264³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31362 + ... + 34110.

It is an arithmetic number, because the mean of its divisors is an integer number (2772000).

Almost surely, 2^89991264 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 89991264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

89991264 is an abundant number, since it is smaller than the sum of its proper divisors (176120736).

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

89991264 is a wasteful number, since it uses less digits than its factorization.

89991264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2796 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 89991264 is about 9486.3725417042. The cubic root of 89991264 is about 448.1259743525.

The spelling of 89991264 in words is "eighty-nine million, nine hundred ninety-one thousand, two hundred sixty-four".