8193564 has 72 divisors (see below), whose sum is σ = 21781760. Its totient is φ = 2594592.

The previous prime is 8193551. The next prime is 8193569. The reversal of 8193564 is 4653918.

8193564 is a `hidden beast` number, since 8 + 1 + 93 + 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 (8193569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103677 + ... + 103755.

Almost surely, 2^8193564 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 8193564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890880).

8193564 is an abundant number, since it is smaller than the sum of its proper divisors (13588196).

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

8193564 is a wasteful number, since it uses less digits than its factorization.

8193564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 194 counting only the distinct ones).

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

The square root of 8193564 is about 2862.4402177163. The cubic root of 8193564 is about 201.6001960505.

The spelling of 8193564 in words is "eight million, one hundred ninety-three thousand, five hundred sixty-four".