36960720 has 80 divisors (see below), whose sum is σ = 121331520. Its totient is φ = 9275392.

The previous prime is 36960697. The next prime is 36960797. The reversal of 36960720 is 2706963.

It is a tau number, because it is divible by the number of its divisors (80).

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, 450 + ... + 8609.

It is an arithmetic number, because the mean of its divisors is an integer number (1516644).

Almost surely, 2^36960720 is an apocalyptic number.

36960720 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 36960720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60665760).

36960720 is an abundant number, since it is smaller than the sum of its proper divisors (84370800).

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

36960720 is a wasteful number, since it uses less digits than its factorization.

36960720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9092 (or 9086 counting only the distinct ones).

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

The square root of 36960720 is about 6079.5328767924. The cubic root of 36960720 is about 333.1042247861.

The spelling of 36960720 in words is "thirty-six million, nine hundred sixty thousand, seven hundred twenty".