90964512 has 96 divisors (see below), whose sum is σ = 267724800. Its totient is φ = 30046464.

The previous prime is 90964507. The next prime is 90964513. The reversal of 90964512 is 21546909.

90964512 is a `hidden beast` number, since 9 + 0 + 9 + 645 + 1 + 2 = 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 not an unprimeable number, because it can be changed into a prime (90964513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109314 + ... + 110142.

It is an arithmetic number, because the mean of its divisors is an integer number (2788800).

Almost surely, 2^90964512 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 90964512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133862400).

90964512 is an abundant number, since it is smaller than the sum of its proper divisors (176760288).

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

90964512 is a wasteful number, since it uses less digits than its factorization.

90964512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90964512 is about 9537.5317561726. The cubic root of 90964512 is about 449.7356669816.

The spelling of 90964512 in words is "ninety million, nine hundred sixty-four thousand, five hundred twelve".