312916320 has 144 divisors (see below), whose sum is σ = 1124126640. Its totient is φ = 79045632.

The previous prime is 312916319. The next prime is 312916321. The reversal of 312916320 is 23619213.

312916320 is a `hidden beast` number, since 3 + 1 + 29 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (312916319) and next prime (312916321).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312916321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21642 + ... + 33078.

It is an arithmetic number, because the mean of its divisors is an integer number (7806435).

Almost surely, 2^312916320 is an apocalyptic number.

312916320 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 312916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562063320).

312916320 is an abundant number, since it is smaller than the sum of its proper divisors (811210320).

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

312916320 is a wasteful number, since it uses less digits than its factorization.

312916320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11477 (or 11466 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 312916320 is about 17689.4409182427. The cubic root of 312916320 is about 678.9056214499.

It can be divided in two parts, 312916 and 320, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 312916320 in words is "three hundred twelve million, nine hundred sixteen thousand, three hundred twenty".