362160 has 60 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 96384.

The previous prime is 362147. The next prime is 362161. The reversal of 362160 is 61263.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362160.

It is not an unprimeable number, because it can be changed into a prime (362161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469 + ... + 971.

2³⁶²¹⁶⁰ is an apocalyptic number.

362160 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 362160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).

362160 is an abundant number, since it is smaller than the sum of its proper divisors (856512).

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

362160 is a wasteful number, since it uses less digits than its factorization.

362160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 362160 is about 601.7973080698. The cubic root of 362160 is about 71.2798582152.

The spelling of 362160 in words is "three hundred sixty-two thousand, one hundred sixty".