312835068 has 192 divisors, whose sum is σ = 1009792000. Its totient is φ = 81554688.

The previous prime is 312835031. The next prime is 312835069. The reversal of 312835068 is 860538213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312835069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1365978 + ... + 1366206.

Almost surely, 2^312835068 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 312835068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504896000).

312835068 is an abundant number, since it is smaller than the sum of its proper divisors (696956932).

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

312835068 is a wasteful number, since it uses less digits than its factorization.

312835068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 312835068 is about 17687.1441448302. The cubic root of 312835068 is about 678.8468547113.

The spelling of 312835068 in words is "three hundred twelve million, eight hundred thirty-five thousand, sixty-eight".