367720960 has 60 divisors (see below), whose sum is σ = 884000898. Its totient is φ = 146700288.

The previous prime is 367720939. The next prime is 367720961. The reversal of 367720960 is 69027763.

It can be written as a sum of positive squares in only one way, i.e., 330948864 + 36772096 = 18192^2 + 6064^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (367720961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 970051 + ... + 970429.

Almost surely, 2^367720960 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 367720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442000449).

367720960 is an abundant number, since it is smaller than the sum of its proper divisors (516279938).

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

367720960 is an frugal number, since it uses more digits than its factorization.

367720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 367720960 is about 19176.0517312611. The cubic root of 367720960 is about 716.4284027374.

Multiplying 367720960 by its sum of digits (40), we get a square (14708838400 = 121280²).

367720960 divided by its sum of digits (40) gives a square (9193024 = 3032²).

The spelling of 367720960 in words is "three hundred sixty-seven million, seven hundred twenty thousand, nine hundred sixty".