8390564 has 72 divisors (see below), whose sum is σ = 19104120. Its totient is φ = 3193344.

The previous prime is 8390549. The next prime is 8390587. The reversal of 8390564 is 4650938.

It can be written as a sum of positive squares in 4 ways, for example, as 550564 + 7840000 = 742^2 + 2800^2 .

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 23 ways as a sum of consecutive naturals, for example, 94232 + ... + 94320.

It is an arithmetic number, because the mean of its divisors is an integer number (265335).

Almost surely, 2^8390564 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 8390564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9552060).

8390564 is an abundant number, since it is smaller than the sum of its proper divisors (10713556).

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

8390564 is a wasteful number, since it uses less digits than its factorization.

8390564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 8390564 is about 2896.6470271678. The cubic root of 8390564 is about 203.2031260498.

It can be divided in two parts, 839056 and 4, that multiplied together give a square (3356224 = 1832²).

The spelling of 8390564 in words is "eight million, three hundred ninety thousand, five hundred sixty-four".