312087768 has 128 divisors (see below), whose sum is σ = 879206400. Its totient is φ = 91736064.

The previous prime is 312087767. The next prime is 312087791. The reversal of 312087768 is 867780213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312087761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984346 + ... + 984662.

It is an arithmetic number, because the mean of its divisors is an integer number (6868800).

Almost surely, 2^312087768 is an apocalyptic number.

312087768 is a gapful number since it is divisible by the number (38) 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 312087768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439603200).

312087768 is an abundant number, since it is smaller than the sum of its proper divisors (567118632).

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

312087768 is a wasteful number, since it uses less digits than its factorization.

312087768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 312087768 is about 17666.0060002254. The cubic root of 312087768 is about 678.3058808979.

The spelling of 312087768 in words is "three hundred twelve million, eighty-seven thousand, seven hundred sixty-eight".