90690960 has 80 divisors (see below), whose sum is σ = 282106944. Its totient is φ = 24101376.

The previous prime is 90690949. The next prime is 90690983. The reversal of 90690960 is 6909609.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105894 + ... + 106746.

Almost surely, 2^90690960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90690960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141053472).

90690960 is an abundant number, since it is smaller than the sum of its proper divisors (191415984).

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

90690960 is a wasteful number, since it uses less digits than its factorization.

90690960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 90690960 is about 9523.1801411083. The cubic root of 90690960 is about 449.2843934837.

The spelling of 90690960 in words is "ninety million, six hundred ninety thousand, nine hundred sixty".