312847920 has 720 divisors, whose sum is σ = 1440741120. Its totient is φ = 61585920.

The previous prime is 312847903. The next prime is 312847943. The reversal of 312847920 is 29748213.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 16465671 + ... + 16465689.

Almost surely, 2^312847920 is an apocalyptic number.

312847920 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 312847920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720370560).

312847920 is an abundant number, since it is smaller than the sum of its proper divisors (1127893200).

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

312847920 is a wasteful number, since it uses less digits than its factorization.

312847920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 312847920 is about 17687.5074558288. The cubic root of 312847920 is about 678.8561507922.

It can be divided in two parts, 31284 and 7920, that added together give a square (39204 = 198²).

The spelling of 312847920 in words is "three hundred twelve million, eight hundred forty-seven thousand, nine hundred twenty".