312306876 has 108 divisors (see below), whose sum is σ = 952481712. Its totient is φ = 84509568.

The previous prime is 312306853. The next prime is 312306877. The reversal of 312306876 is 678603213.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312306876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312306877) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89256 + ... + 92688.

Almost surely, 2^312306876 is an apocalyptic number.

312306876 is a gapful number since it is divisible by the number (36) 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 312306876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476240856).

312306876 is an abundant number, since it is smaller than the sum of its proper divisors (640174836).

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

312306876 is a wasteful number, since it uses less digits than its factorization.

312306876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 312306876 is about 17672.2063138704. The cubic root of 312306876 is about 678.4645835585.

The spelling of 312306876 in words is "three hundred twelve million, three hundred six thousand, eight hundred seventy-six".