312871680 has 288 divisors, whose sum is σ = 1212664320. Its totient is φ = 75755520.

The previous prime is 312871673. The next prime is 312871681. The reversal of 312871680 is 86178213.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312871681) 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, 379749 + ... + 380571.

It is an arithmetic number, because the mean of its divisors is an integer number (4210640).

Almost surely, 2^312871680 is an apocalyptic number.

312871680 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 312871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606332160).

312871680 is an abundant number, since it is smaller than the sum of its proper divisors (899792640).

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

312871680 is a wasteful number, since it uses less digits than its factorization.

312871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 312871680 is about 17688.1791035708. The cubic root of 312871680 is about 678.8733361537.

The spelling of 312871680 in words is "three hundred twelve million, eight hundred seventy-one thousand, six hundred eighty".