36564288 has 56 divisors (see below), whose sum is σ = 99376992. Its totient is φ = 11856384.

The previous prime is 36564287. The next prime is 36564289. The reversal of 36564288 is 88246563.

It is an interprime number because it is at equal distance from previous prime (36564287) and next prime (36564289).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36564287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4531 + ... + 9677.

Almost surely, 2^36564288 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 36564288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49688496).

36564288 is an abundant number, since it is smaller than the sum of its proper divisors (62812704).

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

36564288 is a wasteful number, since it uses less digits than its factorization.

36564288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5189 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 36564288 is about 6046.8411588200. The cubic root of 36564288 is about 331.9090087896.

The spelling of 36564288 in words is "thirty-six million, five hundred sixty-four thousand, two hundred eighty-eight".