313882560 has 224 divisors, whose sum is σ = 1172992320. Its totient is φ = 78741504.

The previous prime is 313882559. The next prime is 313882567. The reversal of 313882560 is 65288313.

313882560 is a `hidden beast` number, since 3 + 13 + 8 + 82 + 560 = 666.

It is a super-2 number, since 2×313882560² = 197044522944307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313882567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145812 + ... + 147948.

Almost surely, 2^313882560 is an apocalyptic number.

313882560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586496160).

313882560 is an abundant number, since it is smaller than the sum of its proper divisors (859109760).

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

313882560 is a wasteful number, since it uses less digits than its factorization.

313882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 313882560 is about 17716.7310754552. The cubic root of 313882560 is about 679.6036906413.

The spelling of 313882560 in words is "three hundred thirteen million, eight hundred eighty-two thousand, five hundred sixty".