367920 has 120 divisors (see below), whose sum is σ = 1431456. Its totient is φ = 82944.

The previous prime is 367909. The next prime is 367949. The reversal of 367920 is 29763.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 367920.

It is an unprimeable number.

367920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5004 + ... + 5076.

2³⁶⁷⁹²⁰ is an apocalyptic number.

367920 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 367920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715728).

367920 is an abundant number, since it is smaller than the sum of its proper divisors (1063536).

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

367920 is a wasteful number, since it uses less digits than its factorization.

367920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 367920 is about 606.5640938928. The cubic root of 367920 is about 71.6557642210.

The spelling of 367920 in words is "three hundred sixty-seven thousand, nine hundred twenty".