312727820 has 48 divisors (see below), whose sum is σ = 680655360. Its totient is φ = 120609216.

The previous prime is 312727819. The next prime is 312727837. The reversal of 312727820 is 28727213.

It is a super-3 number, since 3×312727820³ (a number of 26 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 65639 + ... + 70241.

It is an arithmetic number, because the mean of its divisors is an integer number (14180320).

Almost surely, 2^312727820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312727820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340327680).

312727820 is an abundant number, since it is smaller than the sum of its proper divisors (367927540).

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

312727820 is a wasteful number, since it uses less digits than its factorization.

312727820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 312727820 is about 17684.1120783601. The cubic root of 312727820 is about 678.7692703904.

The spelling of 312727820 in words is "three hundred twelve million, seven hundred twenty-seven thousand, eight hundred twenty".