312819360 has 192 divisors, whose sum is σ = 1135233792. Its totient is φ = 70926336.

The previous prime is 312819347. The next prime is 312819373. The reversal of 312819360 is 63918213.

It is an interprime number because it is at equal distance from previous prime (312819347) and next prime (312819373).

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, 527224 + ... + 527816.

It is an arithmetic number, because the mean of its divisors is an integer number (5912676).

Almost surely, 2^312819360 is an apocalyptic number.

312819360 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 312819360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567616896).

312819360 is an abundant number, since it is smaller than the sum of its proper divisors (822414432).

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

312819360 is a wasteful number, since it uses less digits than its factorization.

312819360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 312819360 is about 17686.7000879192. The cubic root of 312819360 is about 678.8354924889.

The spelling of 312819360 in words is "three hundred twelve million, eight hundred nineteen thousand, three hundred sixty".