313095680 has 160 divisors (see below), whose sum is σ = 814635360. Its totient is φ = 115015680.

The previous prime is 313095667. The next prime is 313095683. The reversal of 313095680 is 86590313.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 313095680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313095683) by changing a digit.

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, 1994162 + ... + 1994318.

It is an arithmetic number, because the mean of its divisors is an integer number (5091471).

Almost surely, 2^313095680 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 313095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407317680).

313095680 is an abundant number, since it is smaller than the sum of its proper divisors (501539680).

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

313095680 is a wasteful number, since it uses less digits than its factorization.

313095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 313095680 is about 17694.5098830117. The cubic root of 313095680 is about 679.0353102798.

The spelling of 313095680 in words is "three hundred thirteen million, ninety-five thousand, six hundred eighty".