8913564 has 120 divisors (see below), whose sum is σ = 26467056. Its totient is φ = 2592000.

The previous prime is 8913563. The next prime is 8913587. The reversal of 8913564 is 4653198.

8913564 is a `hidden beast` number, since 8 + 91 + 3 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8913563) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 146094 + ... + 146154.

Almost surely, 2^8913564 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 8913564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13233528).

8913564 is an abundant number, since it is smaller than the sum of its proper divisors (17553492).

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

8913564 is a wasteful number, since it uses less digits than its factorization.

8913564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 8913564 is about 2985.5592440948. The cubic root of 8913564 is about 207.3403349085.

It can be divided in two parts, 891 and 3564, that multiplied together give a square (3175524 = 1782²).

The spelling of 8913564 in words is "eight million, nine hundred thirteen thousand, five hundred sixty-four".