36564128 has 72 divisors (see below), whose sum is σ = 78824340. Its totient is φ = 16665600.

The previous prime is 36564119. The next prime is 36564131. The reversal of 36564128 is 82146563.

It can be written as a sum of positive squares in 2 ways, for example, as 33965584 + 2598544 = 5828^2 + 1612^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 891788 + ... + 891828.

Almost surely, 2^36564128 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 36564128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39412170).

36564128 is an abundant number, since it is smaller than the sum of its proper divisors (42260212).

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

36564128 is a wasteful number, since it uses less digits than its factorization.

36564128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 103 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 36564128 is about 6046.8279287574. The cubic root of 36564128 is about 331.9085246604.

The spelling of 36564128 in words is "thirty-six million, five hundred sixty-four thousand, one hundred twenty-eight".