90264960 has 96 divisors (see below), whose sum is σ = 311716080. Its totient is φ = 24069120.

The previous prime is 90264929. The next prime is 90264997. The reversal of 90264960 is 6946209.

90264960 is a `hidden beast` number, since 9 + 0 + 2 + 649 + 6 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2076 + ... + 13595.

Almost surely, 2^90264960 is an apocalyptic number.

90264960 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 90264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155858040).

90264960 is an abundant number, since it is smaller than the sum of its proper divisors (221451120).

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

90264960 is a wasteful number, since it uses less digits than its factorization.

90264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15696 (or 15681 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90264960 is about 9500.7873357949. The cubic root of 90264960 is about 448.5798189799.

The spelling of 90264960 in words is "ninety million, two hundred sixty-four thousand, nine hundred sixty".