312392640 has 336 divisors, whose sum is σ = 1198778400. Its totient is φ = 68640768.

The previous prime is 312392621. The next prime is 312392683. The reversal of 312392640 is 46293213.

312392640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312392598 and 312392607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364046 + ... + 1364274.

Almost surely, 2^312392640 is an apocalyptic number.

312392640 is a gapful number since it is divisible by the number (30) 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 312392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599389200).

312392640 is an abundant number, since it is smaller than the sum of its proper divisors (886385760).

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

312392640 is a wasteful number, since it uses less digits than its factorization.

312392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 312392640 is about 17674.6326694503. The cubic root of 312392640 is about 678.5266832809.

The spelling of 312392640 in words is "three hundred twelve million, three hundred ninety-two thousand, six hundred forty".