318813840 has 160 divisors (see below), whose sum is σ = 1109571840. Its totient is φ = 84132864.

The previous prime is 318813829. The next prime is 318813841. The reversal of 318813840 is 48318813.

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 = 318813795 and 318813804.

It is not an unprimeable number, because it can be changed into a prime (318813841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221764 + ... + 223196.

It is an arithmetic number, because the mean of its divisors is an integer number (6934824).

Almost surely, 2^318813840 is an apocalyptic number.

318813840 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 318813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554785920).

318813840 is an abundant number, since it is smaller than the sum of its proper divisors (790758000).

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

318813840 is a wasteful number, since it uses less digits than its factorization.

318813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 318813840 is about 17855.3588594573. The cubic root of 318813840 is about 683.1442051780.

It can be divided in two parts, 31881 and 3840, that added together give a square (35721 = 189²).

The spelling of 318813840 in words is "three hundred eighteen million, eight hundred thirteen thousand, eight hundred forty".