362560 has 56 divisors (see below), whose sum is σ = 950976. Its totient is φ = 130560.

The previous prime is 362521. The next prime is 362561. The reversal of 362560 is 65263.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (362561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3469 + ... + 3571.

2³⁶²⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475488).

362560 is an abundant number, since it is smaller than the sum of its proper divisors (588416).

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

362560 is a wasteful number, since it uses less digits than its factorization.

362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 362560 is about 602.1295541659. The cubic root of 362560 is about 71.3060910522.

The spelling of 362560 in words is "three hundred sixty-two thousand, five hundred sixty".