360960 has 80 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 94208.

The previous prime is 360959. The next prime is 360973. The reversal of 360960 is 69063.

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

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 360960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7657 + ... + 7703.

2³⁶⁰⁹⁶⁰ is an apocalyptic number.

360960 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 360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248).

360960 is an abundant number, since it is smaller than the sum of its proper divisors (817536).

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

360960 is an equidigital number, since it uses as much as digits as its factorization.

360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 57 counting only the distinct ones).

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

The square root of 360960 is about 600.7994673766. The cubic root of 360960 is about 71.2010436240.

The spelling of 360960 in words is "three hundred sixty thousand, nine hundred sixty".