360920 has 32 divisors (see below), whose sum is σ = 928800. Its totient is φ = 123648.

The previous prime is 360907. The next prime is 360947. The reversal of 360920 is 29063.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 360892 and 360901.

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 360920.

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, 365 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (29025).

2³⁶⁰⁹²⁰ is an apocalyptic number.

It is an amenable number.

360920 is an abundant number, since it is smaller than the sum of its proper divisors (567880).

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

360920 is a wasteful number, since it uses less digits than its factorization.

360920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 360920 is about 600.7661774767. The cubic root of 360920 is about 71.1984134646.

Adding to 360920 its reverse (29063), we get a palindrome (389983).

The spelling of 360920 in words is "three hundred sixty thousand, nine hundred twenty".