312886840 has 64 divisors (see below), whose sum is σ = 808335360. Its totient is φ = 106773120.

The previous prime is 312886831. The next prime is 312886897. The reversal of 312886840 is 48688213.

312886840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 312886793 and 312886802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59935 + ... + 64945.

It is an arithmetic number, because the mean of its divisors is an integer number (12630240).

Almost surely, 2^312886840 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 312886840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404167680).

312886840 is an abundant number, since it is smaller than the sum of its proper divisors (495448520).

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

312886840 is a wasteful number, since it uses less digits than its factorization.

312886840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 312886840 is about 17688.6076331632. The cubic root of 312886840 is about 678.8843007698.

The spelling of 312886840 in words is "three hundred twelve million, eight hundred eighty-six thousand, eight hundred forty".