313686000 has 320 divisors, whose sum is σ = 1161413760. Its totient is φ = 80870400.

The previous prime is 313685987. The next prime is 313686007. The reversal of 313686000 is 686313.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313686007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1997922 + ... + 1998078.

It is an arithmetic number, because the mean of its divisors is an integer number (3629418).

Almost surely, 2^313686000 is an apocalyptic number.

313686000 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 313686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580706880).

313686000 is an abundant number, since it is smaller than the sum of its proper divisors (847727760).

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

313686000 is a wasteful number, since it uses less digits than its factorization.

313686000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 313686000 is about 17711.1829079822. The cubic root of 313686000 is about 679.4618002101.

The spelling of 313686000 in words is "three hundred thirteen million, six hundred eighty-six thousand".