360984160 has 48 divisors (see below), whose sum is σ = 855123696. Its totient is φ = 144004608.

The previous prime is 360984157. The next prime is 360984167. The reversal of 360984160 is 61489063.

360984160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360984167) by changing a digit.

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, 60679 + ... + 66361.

It is an arithmetic number, because the mean of its divisors is an integer number (17815077).

Almost surely, 2^360984160 is an apocalyptic number.

It is an amenable number.

360984160 is an abundant number, since it is smaller than the sum of its proper divisors (494139536).

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

360984160 is a wasteful number, since it uses less digits than its factorization.

360984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095 (or 6087 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 360984160 is about 18999.5831533221. The cubic root of 360984160 is about 712.0263214610.

The spelling of 360984160 in words is "three hundred sixty million, nine hundred eighty-four thousand, one hundred sixty".