313646040 has 256 divisors, whose sum is σ = 1103155200. Its totient is φ = 79170048.

The previous prime is 313646017. The next prime is 313646051. The reversal of 313646040 is 40646313.

313646040 is a `hidden beast` number, since 3 + 13 + 646 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313645995 and 313646013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1878037 + ... + 1878203.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^313646040 is an apocalyptic number.

313646040 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 313646040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

313646040 is an abundant number, since it is smaller than the sum of its proper divisors (789509160).

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

313646040 is a wasteful number, since it uses less digits than its factorization.

313646040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 313646040 is about 17710.0547712309. The cubic root of 313646040 is about 679.4329471038.

The spelling of 313646040 in words is "three hundred thirteen million, six hundred forty-six thousand, forty".