312727936 has 32 divisors (see below), whose sum is σ = 626290200. Its totient is φ = 155541504.

The previous prime is 312727873. The next prime is 312727963. The reversal of 312727936 is 639727213.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18375 + ... + 31033.

Almost surely, 2^312727936 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 312727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313145100).

312727936 is an abundant number, since it is smaller than the sum of its proper divisors (313562264).

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

312727936 is a wasteful number, since it uses less digits than its factorization.

312727936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12866 (or 12854 counting only the distinct ones).

The product of its digits is 95256, while the sum is 40.

The square root of 312727936 is about 17684.1153581399. The cubic root of 312727936 is about 678.7693543156.

The spelling of 312727936 in words is "three hundred twelve million, seven hundred twenty-seven thousand, nine hundred thirty-six".