89356960 has 96 divisors (see below), whose sum is σ = 263233152. Its totient is φ = 27847680.

The previous prime is 89356957. The next prime is 89356987. The reversal of 89356960 is 6965398.

It is a self number, because there is not a number n which added to its sum of digits gives 89356960.

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 15 ways as a sum of consecutive naturals, for example, 8694 + ... + 15946.

It is an arithmetic number, because the mean of its divisors is an integer number (2742012).

Almost surely, 2^89356960 is an apocalyptic number.

89356960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576).

89356960 is an abundant number, since it is smaller than the sum of its proper divisors (173876192).

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

89356960 is a wasteful number, since it uses less digits than its factorization.

89356960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 89356960 is about 9452.8810423066. The cubic root of 89356960 is about 447.0706179605.

The spelling of 89356960 in words is "eighty-nine million, three hundred fifty-six thousand, nine hundred sixty".