361920 has 112 divisors (see below), whose sum is σ = 1280160. Its totient is φ = 86016.

The previous prime is 361919. The next prime is 361927. The reversal of 361920 is 29163.

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 361920.

It is not an unprimeable number, because it can be changed into a prime (361927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12466 + ... + 12494.

It is an arithmetic number, because the mean of its divisors is an integer number (11430).

2³⁶¹⁹²⁰ is an apocalyptic number.

361920 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 361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640080).

361920 is an abundant number, since it is smaller than the sum of its proper divisors (918240).

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

361920 is a wasteful number, since it uses less digits than its factorization.

361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 361920 is about 601.5978723367. The cubic root of 361920 is about 71.2641092403.

The spelling of 361920 in words is "three hundred sixty-one thousand, nine hundred twenty".