313668540 has 144 divisors (see below), whose sum is σ = 998000640. Its totient is φ = 79643520.

The previous prime is 313668539. The next prime is 313668577. The reversal of 313668540 is 45866313.

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 = 313668495 and 313668504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373441 + ... + 374279.

It is an arithmetic number, because the mean of its divisors is an integer number (6930560).

Almost surely, 2^313668540 is an apocalyptic number.

313668540 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 313668540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499000320).

313668540 is an abundant number, since it is smaller than the sum of its proper divisors (684332100).

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

313668540 is a wasteful number, since it uses less digits than its factorization.

313668540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 313668540 is about 17710.6899922053. The cubic root of 313668540 is about 679.4491935237.

The spelling of 313668540 in words is "three hundred thirteen million, six hundred sixty-eight thousand, five hundred forty".