313072640 has 88 divisors (see below), whose sum is σ = 767575872. Its totient is φ = 122470400.

The previous prime is 313072631. The next prime is 313072657. The reversal of 313072640 is 46270313.

It is a congruent number.

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, 239990 + ... + 241290.

Almost surely, 2^313072640 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 313072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383787936).

313072640 is an abundant number, since it is smaller than the sum of its proper divisors (454503232).

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

313072640 is a wasteful number, since it uses less digits than its factorization.

313072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 313072640 is about 17693.8588216364. The cubic root of 313072640 is about 679.0186536492.

The spelling of 313072640 in words is "three hundred thirteen million, seventy-two thousand, six hundred forty".