315566880 has 48 divisors (see below), whose sum is σ = 994037184. Its totient is φ = 84151040.

The previous prime is 315566863. The next prime is 315566891. The reversal of 315566880 is 88665513.

315566880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 328236 + ... + 329195.

It is an arithmetic number, because the mean of its divisors is an integer number (20709108).

Almost surely, 2^315566880 is an apocalyptic number.

315566880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315566880 is an abundant number, since it is smaller than the sum of its proper divisors (678470304).

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

315566880 is a wasteful number, since it uses less digits than its factorization.

315566880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657449 (or 657441 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 315566880 is about 17764.2022055594. The cubic root of 315566880 is about 680.8171261220.

The spelling of 315566880 in words is "three hundred fifteen million, five hundred sixty-six thousand, eight hundred eighty".