363666560 has 64 divisors (see below), whose sum is σ = 884217600. Its totient is φ = 142986240.

The previous prime is 363666557. The next prime is 363666581. The reversal of 363666560 is 65666363.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32945 + ... + 42575.

It is an arithmetic number, because the mean of its divisors is an integer number (13815900).

Almost surely, 2^363666560 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 363666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442108800).

363666560 is an abundant number, since it is smaller than the sum of its proper divisors (520551040).

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

363666560 is an equidigital number, since it uses as much as digits as its factorization.

363666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9709 (or 9697 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 41.

The square root of 363666560 is about 19070.0435238098. The cubic root of 363666560 is about 713.7856119956.

The spelling of 363666560 in words is "three hundred sixty-three million, six hundred sixty-six thousand, five hundred sixty".