313114640 has 80 divisors (see below), whose sum is σ = 763344000. Its totient is φ = 119218176.

The previous prime is 313114639. The next prime is 313114643. The reversal of 313114640 is 46411313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (313114643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697136 + ... + 697584.

It is an arithmetic number, because the mean of its divisors is an integer number (9541800).

Almost surely, 2^313114640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381672000).

313114640 is an abundant number, since it is smaller than the sum of its proper divisors (450229360).

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

313114640 is a wasteful number, since it uses less digits than its factorization.

313114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 313114640 is about 17695.0456343011. The cubic root of 313114640 is about 679.0490166859.

Adding to 313114640 its reverse (46411313), we get a palindrome (359525953).

It can be divided in two parts, 3131 and 14640, that added together give a palindrome (17771).

The spelling of 313114640 in words is "three hundred thirteen million, one hundred fourteen thousand, six hundred forty".