361360560 has 80 divisors (see below), whose sum is σ = 1222064640. Its totient is φ = 87601920.

The previous prime is 361360501. The next prime is 361360579. The reversal of 361360560 is 65063163.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65800 + ... + 71079.

It is an arithmetic number, because the mean of its divisors is an integer number (15275808).

Almost surely, 2^361360560 is an apocalyptic number.

361360560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361360560 is an abundant number, since it is smaller than the sum of its proper divisors (860704080).

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

361360560 is a wasteful number, since it uses less digits than its factorization.

361360560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136906 (or 136900 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 361360560 is about 19009.4860530210. The cubic root of 361360560 is about 712.2737133047.

The spelling of 361360560 in words is "three hundred sixty-one million, three hundred sixty thousand, five hundred sixty".