311647840 has 144 divisors (see below), whose sum is σ = 865976832. Its totient is φ = 105670656.

The previous prime is 311647799. The next prime is 311647849. The reversal of 311647840 is 48746113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 311647796 and 311647805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311647849) 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 23 ways as a sum of consecutive naturals, for example, 995524 + ... + 995836.

It is an arithmetic number, because the mean of its divisors is an integer number (6013728).

Almost surely, 2^311647840 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 311647840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432988416).

311647840 is an abundant number, since it is smaller than the sum of its proper divisors (554328992).

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

311647840 is a wasteful number, since it uses less digits than its factorization.

311647840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 311647840 is about 17653.5503511333. The cubic root of 311647840 is about 677.9870111184.

The spelling of 311647840 in words is "three hundred eleven million, six hundred forty-seven thousand, eight hundred forty".