36864960 has 112 divisors (see below), whose sum is σ = 127723392. Its totient is φ = 8934400.

The previous prime is 36864953. The next prime is 36864991. The reversal of 36864960 is 6946863.

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, 8815 + ... + 12305.

Almost surely, 2^36864960 is an apocalyptic number.

36864960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63861696).

36864960 is an abundant number, since it is smaller than the sum of its proper divisors (90858432).

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

36864960 is a wasteful number, since it uses less digits than its factorization.

36864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 36864960 is about 6071.6521639501. The cubic root of 36864960 is about 332.8163006685.

It can be divided in two parts, 3686 and 4960, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 36864960 in words is "thirty-six million, eight hundred sixty-four thousand, nine hundred sixty".