36648864 has 180 divisors, whose sum is σ = 123877026. Its totient is φ = 10273536.

The previous prime is 36648841. The next prime is 36648869. The reversal of 36648864 is 46884663.

36648864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28005264 + 8643600 = 5292^2 + 2940^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36648869) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 691462 + ... + 691514.

Almost surely, 2^36648864 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 36648864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61938513).

36648864 is an abundant number, since it is smaller than the sum of its proper divisors (87228162).

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

36648864 is an equidigital number, since it uses as much as digits as its factorization.

36648864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 36648864 is about 6053.8305229004. The cubic root of 36648864 is about 332.1647220530.

The spelling of 36648864 in words is "thirty-six million, six hundred forty-eight thousand, eight hundred sixty-four".