312028640 has 384 divisors, whose sum is σ = 1021870080. Its totient is φ = 87091200.

The previous prime is 312028631. The next prime is 312028657. The reversal of 312028640 is 46820213.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7256459 + ... + 7256501.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2^312028640 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 312028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510935040).

312028640 is an abundant number, since it is smaller than the sum of its proper divisors (709841440).

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

312028640 is a wasteful number, since it uses less digits than its factorization.

312028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 312028640 is about 17664.3324244082. The cubic root of 312028640 is about 678.2630410225.

Adding to 312028640 its reverse (46820213), we get a palindrome (358848853).

The spelling of 312028640 in words is "three hundred twelve million, twenty-eight thousand, six hundred forty".