36960 has 96 divisors (see below), whose sum is σ = 145152. Its totient is φ = 7680.

The previous prime is 36947. The next prime is 36973. The reversal of 36960 is 6963.

It is an interprime number because it is at equal distance from previous prime (36947) and next prime (36973).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36960.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36960.

It is an unprimeable number.

36960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3355 + ... + 3365.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2³⁶⁹⁶⁰ is an apocalyptic number.

36960 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 36960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

36960 is an abundant number, since it is smaller than the sum of its proper divisors (108192).

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

36960 is a wasteful number, since it uses less digits than its factorization.

36960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 36960 is about 192.2498374512. The cubic root of 36960 is about 33.3102061800.

36960 divided by its sum of digits (24) gives a triangular number (1540 = T₅₅).

The spelling of 36960 in words is "thirty-six thousand, nine hundred sixty".