89320960 has 160 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 32440320.

The previous prime is 89320949. The next prime is 89320961. The reversal of 89320960 is 6902398.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89320961) 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 15 ways as a sum of consecutive naturals, for example, 2178540 + ... + 2178580.

Almost surely, 2^89320960 is an apocalyptic number.

89320960 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 89320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

89320960 is an abundant number, since it is smaller than the sum of its proper divisors (145788992).

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

89320960 is a wasteful number, since it uses less digits than its factorization.

89320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 89320960 is about 9450.9766691067. The cubic root of 89320960 is about 447.0105715127.

The spelling of 89320960 in words is "eighty-nine million, three hundred twenty thousand, nine hundred sixty".