367680 has 56 divisors (see below), whose sum is σ = 1170432. Its totient is φ = 97792.

The previous prime is 367673. The next prime is 367687. The reversal of 367680 is 86763.

It is an interprime number because it is at equal distance from previous prime (367673) and next prime (367687).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 367680.

It is not an unprimeable number, because it can be changed into a prime (367687) by changing a digit.

367680 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769 + ... + 1151.

2³⁶⁷⁶⁸⁰ is an apocalyptic number.

367680 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 367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585216).

367680 is an abundant number, since it is smaller than the sum of its proper divisors (802752).

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

367680 is a wasteful number, since it uses less digits than its factorization.

367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 367680 is about 606.3662259724. The cubic root of 367680 is about 71.6401801047.

The spelling of 367680 in words is "three hundred sixty-seven thousand, six hundred eighty".