362920 has 32 divisors (see below), whose sum is σ = 839520. Its totient is φ = 141120.

The previous prime is 362911. The next prime is 362927. The reversal of 362920 is 29263.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 362891 and 362900.

It is not an unprimeable number, because it can be changed into a prime (362927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1615 + ... + 1825.

It is an arithmetic number, because the mean of its divisors is an integer number (26235).

2³⁶²⁹²⁰ 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 362920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419760).

362920 is an abundant number, since it is smaller than the sum of its proper divisors (476600).

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

362920 is a wasteful number, since it uses less digits than its factorization.

362920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 362920 is about 602.4284189844. The cubic root of 362920 is about 71.3296841137.

The spelling of 362920 in words is "three hundred sixty-two thousand, nine hundred twenty".