360336960 has 84 divisors (see below), whose sum is σ = 1239418908. Its totient is φ = 96089088.

The previous prime is 360336941. The next prime is 360337001. The reversal of 360336960 is 69633063.

It can be written as a sum of positive squares in 2 ways, for example, as 199148544 + 161188416 = 14112^2 + 12696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59679 + ... + 65438.

It is an arithmetic number, because the mean of its divisors is an integer number (14754987).

Almost surely, 2^360336960 is an apocalyptic number.

360336960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

360336960 is an abundant number, since it is smaller than the sum of its proper divisors (879081948).

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

360336960 is a wasteful number, since it uses less digits than its factorization.

360336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125140 (or 125127 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 360336960 is about 18982.5435598078. The cubic root of 360336960 is about 711.6005418278.

The spelling of 360336960 in words is "three hundred sixty million, three hundred thirty-six thousand, nine hundred sixty".