313928640 has 168 divisors, whose sum is σ = 1136812560. Its totient is φ = 79294464.

The previous prime is 313928639. The next prime is 313928717. The reversal of 313928640 is 46829313.

313928640 is a `hidden beast` number, since 3 + 1 + 3 + 9 + 2 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 313928595 and 313928604.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 51852 + ... + 57588.

Almost surely, 2^313928640 is an apocalyptic number.

313928640 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 313928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568406280).

313928640 is an abundant number, since it is smaller than the sum of its proper divisors (822883920).

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

313928640 is a wasteful number, since it uses less digits than its factorization.

313928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 313928640 is about 17718.0314933686. The cubic root of 313928640 is about 679.6369457603.

The spelling of 313928640 in words is "three hundred thirteen million, nine hundred twenty-eight thousand, six hundred forty".