311984640 has 240 divisors, whose sum is σ = 1179674496. Its totient is φ = 75571200.

The previous prime is 311984623. The next prime is 311984669. The reversal of 311984640 is 46489113.

311984640 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 311984595 and 311984604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252825 + ... + 254055.

Almost surely, 2^311984640 is an apocalyptic number.

311984640 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 311984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589837248).

311984640 is an abundant number, since it is smaller than the sum of its proper divisors (867689856).

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

311984640 is a wasteful number, since it uses less digits than its factorization.

311984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 311984640 is about 17663.0869329231. The cubic root of 311984640 is about 678.2311582903.

The spelling of 311984640 in words is "three hundred eleven million, nine hundred eighty-four thousand, six hundred forty".