90965664 has 72 divisors (see below), whose sum is σ = 259901460. Its totient is φ = 30179328.

The previous prime is 90965639. The next prime is 90965681. The reversal of 90965664 is 46656909.

It can be written as a sum of positive squares in 2 ways, for example, as 56250000 + 34715664 = 7500^2 + 5892^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 73402 + ... + 74630.

Almost surely, 2^90965664 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 90965664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129950730).

90965664 is an abundant number, since it is smaller than the sum of its proper divisors (168935796).

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

90965664 is a wasteful number, since it uses less digits than its factorization.

90965664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 90965664 is about 9537.5921489651. The cubic root of 90965664 is about 449.7375654997.

The spelling of 90965664 in words is "ninety million, nine hundred sixty-five thousand, six hundred sixty-four".