90564 has 12 divisors (see below), whose sum is σ = 211344. Its totient is φ = 30184.

The previous prime is 90547. The next prime is 90583. The reversal of 90564 is 46509.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3762 + ... + 3785.

It is an arithmetic number, because the mean of its divisors is an integer number (17612).

2⁹⁰⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

90564 is an abundant number, since it is smaller than the sum of its proper divisors (120780).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105672).

90564 is a wasteful number, since it uses less digits than its factorization.

90564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 90564 is about 300.9385319297. The cubic root of 90564 is about 44.9074641652.

It can be divided in two parts, 905 and 64, that added together give a palindrome (969).

The spelling of 90564 in words is "ninety thousand, five hundred sixty-four".