367966720 has 160 divisors (see below), whose sum is σ = 981097920. Its totient is φ = 131235840.

The previous prime is 367966637. The next prime is 367966723. The reversal of 367966720 is 27669763.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (367966723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2055591 + ... + 2055769.

It is an arithmetic number, because the mean of its divisors is an integer number (6131862).

Almost surely, 2^367966720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 367966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490548960).

367966720 is an abundant number, since it is smaller than the sum of its proper divisors (613131200).

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

367966720 is a wasteful number, since it uses less digits than its factorization.

367966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 46.

The square root of 367966720 is about 19182.4586536763. The cubic root of 367966720 is about 716.5879714083.

The spelling of 367966720 in words is "three hundred sixty-seven million, nine hundred sixty-six thousand, seven hundred twenty".