89512960 has 44 divisors (see below), whose sum is σ = 214738488. Its totient is φ = 35803136.

The previous prime is 89512931. The next prime is 89512961. The reversal of 89512960 is 6921598.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89512961) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3622 + ... + 13861.

Almost surely, 2^89512960 is an apocalyptic number.

89512960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89512960 is an abundant number, since it is smaller than the sum of its proper divisors (125225528).

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

89512960 is a wasteful number, since it uses less digits than its factorization.

89512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17508 (or 17490 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 89512960 is about 9461.1288967015. The cubic root of 89512960 is about 447.3306330348.

It can be divided in two parts, 8951 and 2960, that added together give a palindrome (11911).

The spelling of 89512960 in words is "eighty-nine million, five hundred twelve thousand, nine hundred sixty".