36720960 has 112 divisors (see below), whose sum is σ = 120700800. Its totient is φ = 9447424.

The previous prime is 36720947. The next prime is 36720973. The reversal of 36720960 is 6902763.

It is an interprime number because it is at equal distance from previous prime (36720947) and next prime (36720973).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27181 + ... + 28499.

Almost surely, 2^36720960 is an apocalyptic number.

36720960 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 36720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60350400).

36720960 is an abundant number, since it is smaller than the sum of its proper divisors (83979840).

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

36720960 is a wasteful number, since it uses less digits than its factorization.

36720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 36720960 is about 6059.7821743030. The cubic root of 36720960 is about 332.3823919334.

The spelling of 36720960 in words is "thirty-six million, seven hundred twenty thousand, nine hundred sixty".