312366768 has 120 divisors (see below), whose sum is σ = 955028160. Its totient is φ = 87696000.

The previous prime is 312366751. The next prime is 312366779. The reversal of 312366768 is 867663213.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137643 + ... + 139893.

It is an arithmetic number, because the mean of its divisors is an integer number (7958568).

Almost surely, 2^312366768 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 312366768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477514080).

312366768 is an abundant number, since it is smaller than the sum of its proper divisors (642661392).

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

312366768 is a wasteful number, since it uses less digits than its factorization.

312366768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2322 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 312366768 is about 17673.9007578972. The cubic root of 312366768 is about 678.5079511633.

The spelling of 312366768 in words is "three hundred twelve million, three hundred sixty-six thousand, seven hundred sixty-eight".