90732960 has 120 divisors (see below), whose sum is σ = 320257476. Its totient is φ = 24192000.

The previous prime is 90732883. The next prime is 90732989. The reversal of 90732960 is 6923709.

It can be written as a sum of positive squares in 2 ways, for example, as 89643024 + 1089936 = 9468^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9460 + ... + 16460.

Almost surely, 2^90732960 is an apocalyptic number.

90732960 is a gapful number since it is divisible by the number (90) 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 90732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160128738).

90732960 is an abundant number, since it is smaller than the sum of its proper divisors (229524516).

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

90732960 is a wasteful number, since it uses less digits than its factorization.

90732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 90732960 is about 9525.3850315880. The cubic root of 90732960 is about 449.3537389925.

The spelling of 90732960 in words is "ninety million, seven hundred thirty-two thousand, nine hundred sixty".