90964880 has 40 divisors (see below), whose sum is σ = 218791800. Its totient is φ = 35130368.

The previous prime is 90964879. The next prime is 90964883. The reversal of 90964880 is 8846909.

It can be written as a sum of positive squares in 4 ways, for example, as 31181056 + 59783824 = 5584^2 + 7732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (90964883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17285 + ... + 21924.

It is an arithmetic number, because the mean of its divisors is an integer number (5469795).

Almost surely, 2^90964880 is an apocalyptic number.

It is an amenable number.

90964880 is an abundant number, since it is smaller than the sum of its proper divisors (127826920).

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

90964880 is a wasteful number, since it uses less digits than its factorization.

90964880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39251 (or 39245 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 90964880 is about 9537.5510483562. The cubic root of 90964880 is about 449.7362734544.

The spelling of 90964880 in words is "ninety million, nine hundred sixty-four thousand, eight hundred eighty".