312665540 has 96 divisors (see below), whose sum is σ = 747387648. Its totient is φ = 108864000.

The previous prime is 312665531. The next prime is 312665543. The reversal of 312665540 is 45566213.

It is a junction number, because it is equal to n+sod(n) for n = 312665497 and 312665506.

It is not an unprimeable number, because it can be changed into a prime (312665543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577670 + ... + 578210.

It is an arithmetic number, because the mean of its divisors is an integer number (7785288).

Almost surely, 2^312665540 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 312665540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373693824).

312665540 is an abundant number, since it is smaller than the sum of its proper divisors (434722108).

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

312665540 is a wasteful number, since it uses less digits than its factorization.

312665540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 312665540 is about 17682.3510880199. The cubic root of 312665540 is about 678.7242082480.

The spelling of 312665540 in words is "three hundred twelve million, six hundred sixty-five thousand, five hundred forty".