312711960 has 128 divisors (see below), whose sum is σ = 1028712960. Its totient is φ = 75417600.

The previous prime is 312711947. The next prime is 312711989. The reversal of 312711960 is 69117213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317629 + ... + 318611.

It is an arithmetic number, because the mean of its divisors is an integer number (8036820).

Almost surely, 2^312711960 is an apocalyptic number.

312711960 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 312711960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514356480).

312711960 is an abundant number, since it is smaller than the sum of its proper divisors (716001000).

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

312711960 is a wasteful number, since it uses less digits than its factorization.

312711960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 312711960 is about 17683.6636475590. The cubic root of 312711960 is about 678.7577955957.

The spelling of 312711960 in words is "three hundred twelve million, seven hundred eleven thousand, nine hundred sixty".