367980 has 24 divisors (see below), whose sum is σ = 1030512. Its totient is φ = 98112.

The previous prime is 367957. The next prime is 368021. The reversal of 367980 is 89763.

It is a happy number.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 367980.

It is an unprimeable number.

367980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3007 + ... + 3126.

It is an arithmetic number, because the mean of its divisors is an integer number (42938).

2³⁶⁷⁹⁸⁰ is an apocalyptic number.

367980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

367980 is an abundant number, since it is smaller than the sum of its proper divisors (662532).

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

367980 is a wasteful number, since it uses less digits than its factorization.

367980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 367980 is about 606.6135507883. The cubic root of 367980 is about 71.6596591910.

The spelling of 367980 in words is "three hundred sixty-seven thousand, nine hundred eighty".