36633564 has 72 divisors (see below), whose sum is σ = 102385920. Its totient is φ = 10951200.

The previous prime is 36633563. The next prime is 36633581. The reversal of 36633564 is 46533663.

It is a happy number.

36633564 is a `hidden beast` number, since 3 + 66 + 33 + 564 = 666.

It is a super-2 number, since 2×36633564² = 2684036022684192, which contains 22 as substring.

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 (36633563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30699 + ... + 31869.

Almost surely, 2^36633564 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 36633564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51192960).

36633564 is an abundant number, since it is smaller than the sum of its proper divisors (65752356).

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

36633564 is a wasteful number, since it uses less digits than its factorization.

36633564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1266 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 36633564 is about 6052.5667282567. The cubic root of 36633564 is about 332.1184920832.

Subtracting 36633564 from its reverse (46533663), we obtain a palindrome (9900099).

It can be divided in two parts, 3663 and 3564, that added together give a palindrome (7227).

The spelling of 36633564 in words is "thirty-six million, six hundred thirty-three thousand, five hundred sixty-four".