160315680 has 96 divisors (see below), whose sum is σ = 577148544. Its totient is φ = 36642816.

The previous prime is 160315679. The next prime is 160315693. The reversal of 160315680 is 86513061.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×160315680² = 51402234507724800, which contains 22 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20497 + ... + 27216.

It is an arithmetic number, because the mean of its divisors is an integer number (6011964).

Almost surely, 2^160315680 is an apocalyptic number.

160315680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

160315680 is an abundant number, since it is smaller than the sum of its proper divisors (416832864).

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

160315680 is a wasteful number, since it uses less digits than its factorization.

160315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47738 (or 47730 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 160315680 is about 12661.5828394399. The cubic root of 160315680 is about 543.2403251623.

The spelling of 160315680 in words is "one hundred sixty million, three hundred fifteen thousand, six hundred eighty".