318240 has 144 divisors (see below), whose sum is σ = 1238328. Its totient is φ = 73728.

The previous prime is 318233. The next prime is 318247. The reversal of 318240 is 42813.

318240 = T₆₆ + T₆₇ + ... + T₁₂₉.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (318233) and next prime (318247).

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 76176 = 492^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 318240.

It is not an unprimeable number, because it can be changed into a prime (318247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18712 + ... + 18728.

2³¹⁸²⁴⁰ is an apocalyptic number.

318240 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 318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164).

318240 is an abundant number, since it is smaller than the sum of its proper divisors (920088).

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

318240 is a wasteful number, since it uses less digits than its factorization.

318240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 318240 is about 564.1276451301. The cubic root of 318240 is about 68.2734090292.

The spelling of 318240 in words is "three hundred eighteen thousand, two hundred forty".