36644960 has 96 divisors (see below), whose sum is σ = 96671232. Its totient is φ = 13012480.

The previous prime is 36644953. The next prime is 36644989. The reversal of 36644960 is 6944663.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82499 + ... + 82941.

It is an arithmetic number, because the mean of its divisors is an integer number (1006992).

Almost surely, 2^36644960 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 36644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48335616).

36644960 is an abundant number, since it is smaller than the sum of its proper divisors (60026272).

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

36644960 is a wasteful number, since it uses less digits than its factorization.

36644960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 36644960 is about 6053.5080738362. The cubic root of 36644960 is about 332.1529270796.

The spelling of 36644960 in words is "thirty-six million, six hundred forty-four thousand, nine hundred sixty".