313082640 has 360 divisors, whose sum is σ = 1189423872. Its totient is φ = 73681920.

The previous prime is 313082633. The next prime is 313082657. The reversal of 313082640 is 46280313.

It is a happy number.

313082640 is a `hidden beast` number, since 3 + 13 + 0 + 8 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3772039 + ... + 3772121.

Almost surely, 2^313082640 is an apocalyptic number.

313082640 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 313082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594711936).

313082640 is an abundant number, since it is smaller than the sum of its proper divisors (876341232).

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

313082640 is a wasteful number, since it uses less digits than its factorization.

313082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 313082640 is about 17694.1414033007. The cubic root of 313082640 is about 679.0258831899.

The spelling of 313082640 in words is "three hundred thirteen million, eighty-two thousand, six hundred forty".