313640640 has 224 divisors, whose sum is σ = 1143121920. Its totient is φ = 80870400.

The previous prime is 313640629. The next prime is 313640641. The reversal of 313640640 is 46046313.

313640640 is a `hidden beast` number, since 3 + 13 + 6 + 4 + 0 + 640 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (313640641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267255 + ... + 268425.

Almost surely, 2^313640640 is an apocalyptic number.

313640640 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 313640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571560960).

313640640 is an abundant number, since it is smaller than the sum of its proper divisors (829481280).

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

313640640 is a wasteful number, since it uses less digits than its factorization.

313640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1212 counting only the distinct ones).

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

The square root of 313640640 is about 17709.9023148068. The cubic root of 313640640 is about 679.4290478474.

Adding to 313640640 its reverse (46046313), we get a palindrome (359686953).

The spelling of 313640640 in words is "three hundred thirteen million, six hundred forty thousand, six hundred forty".