312982640 has 40 divisors (see below), whose sum is σ = 732348960. Its totient is φ = 124390656.

The previous prime is 312982639. The next prime is 312982673. The reversal of 312982640 is 46289213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312982640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101 + ... + 25019.

It is an arithmetic number, because the mean of its divisors is an integer number (18308724).

Almost surely, 2^312982640 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 312982640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366174480).

312982640 is an abundant number, since it is smaller than the sum of its proper divisors (419366320).

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

312982640 is a wasteful number, since it uses less digits than its factorization.

312982640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25089 (or 25083 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 312982640 is about 17691.3153835434. The cubic root of 312982640 is about 678.9535808535.

The spelling of 312982640 in words is "three hundred twelve million, nine hundred eighty-two thousand, six hundred forty".