312041664 has 168 divisors, whose sum is σ = 1033473168. Its totient is φ = 88965120.

The previous prime is 312041659. The next prime is 312041699. The reversal of 312041664 is 466140213.

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, 106264 + ... + 109160.

It is an arithmetic number, because the mean of its divisors is an integer number (6151626).

Almost surely, 2^312041664 is an apocalyptic number.

312041664 is a gapful number since it is divisible by the number (34) 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 312041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516736584).

312041664 is an abundant number, since it is smaller than the sum of its proper divisors (721431504).

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

312041664 is a wasteful number, since it uses less digits than its factorization.

312041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 312041664 is about 17664.7010730439. The cubic root of 312041664 is about 678.2724777363.

Adding to 312041664 its reverse (466140213), we get a palindrome (778181877).

The spelling of 312041664 in words is "three hundred twelve million, forty-one thousand, six hundred sixty-four".