36564264 has 96 divisors (see below), whose sum is σ = 111720000. Its totient is φ = 11072160.

The previous prime is 36564259. The next prime is 36564287. The reversal of 36564264 is 46246563.

36564264 is a `hidden beast` number, since 3 + 6 + 5 + 642 + 6 + 4 = 666.

36564264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25437 + ... + 26835.

It is an arithmetic number, because the mean of its divisors is an integer number (1163750).

Almost surely, 2^36564264 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 36564264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55860000).

36564264 is an abundant number, since it is smaller than the sum of its proper divisors (75155736).

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

36564264 is a wasteful number, since it uses less digits than its factorization.

36564264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1415 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 36564264 is about 6046.8391743125. The cubic root of 36564264 is about 331.9089361703.

The spelling of 36564264 in words is "thirty-six million, five hundred sixty-four thousand, two hundred sixty-four".