312126640 has 40 divisors (see below), whose sum is σ = 829366560. Its totient is φ = 107014656.

The previous prime is 312126601. The next prime is 312126641. The reversal of 312126640 is 46621213.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (312126641) 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 7 ways as a sum of consecutive naturals, for example, 278125 + ... + 279244.

It is an arithmetic number, because the mean of its divisors is an integer number (20734164).

Almost surely, 2^312126640 is an apocalyptic number.

It is an amenable number.

312126640 is an abundant number, since it is smaller than the sum of its proper divisors (517239920).

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

312126640 is a wasteful number, since it uses less digits than its factorization.

312126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557389 (or 557383 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 312126640 is about 17667.1061580554. The cubic root of 312126640 is about 678.3340417918.

Adding to 312126640 its reverse (46621213), we get a palindrome (358747853).

The spelling of 312126640 in words is "three hundred twelve million, one hundred twenty-six thousand, six hundred forty".