363013960 has 32 divisors (see below), whose sum is σ = 832197240. Its totient is φ = 142465024.

The previous prime is 363013951. The next prime is 363013997. The reversal of 363013960 is 69310363.

363013960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 248566756 + 114447204 = 15766^2 + 10698^2 .

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 7 ways as a sum of consecutive naturals, for example, 83497 + ... + 87736.

Almost surely, 2^363013960 is an apocalyptic number.

It is an amenable number.

363013960 is an abundant number, since it is smaller than the sum of its proper divisors (469183280).

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

363013960 is a wasteful number, since it uses less digits than its factorization.

363013960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171297 (or 171293 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 363013960 is about 19052.9252347245. The cubic root of 363013960 is about 713.3583933510.

The spelling of 363013960 in words is "three hundred sixty-three million, thirteen thousand, nine hundred sixty".