312618240 has 216 divisors, whose sum is σ = 1180434528. Its totient is φ = 75755520.

The previous prime is 312618149. The next prime is 312618281. The reversal of 312618240 is 42816213.

312618240 is a `hidden beast` number, since 3 + 1 + 2 + 618 + 2 + 40 = 666.

312618240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125487 + ... + 127953.

Almost surely, 2^312618240 is an apocalyptic number.

312618240 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 312618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590217264).

312618240 is an abundant number, since it is smaller than the sum of its proper divisors (867816288).

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

312618240 is a wasteful number, since it uses less digits than its factorization.

312618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 312618240 is about 17681.0135456087. The cubic root of 312618240 is about 678.6899807535.

The spelling of 312618240 in words is "three hundred twelve million, six hundred eighteen thousand, two hundred forty".