8564920 has 96 divisors (see below), whose sum is σ = 23980320. Its totient is φ = 2695680.

The previous prime is 8564909. The next prime is 8564939. The reversal of 8564920 is 294658.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47230 + ... + 47410.

It is an arithmetic number, because the mean of its divisors is an integer number (249795).

Almost surely, 2^8564920 is an apocalyptic number.

8564920 is the 1690-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8564920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990160).

8564920 is an abundant number, since it is smaller than the sum of its proper divisors (15415400).

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

8564920 is a wasteful number, since it uses less digits than its factorization.

8564920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 8564920 is about 2926.5884575731. The cubic root of 8564920 is about 204.6010085990.

It can be divided in two parts, 856 and 4920, that added together give a square (5776 = 76²).

The spelling of 8564920 in words is "eight million, five hundred sixty-four thousand, nine hundred twenty".