315840 has 112 divisors (see below), whose sum is σ = 1170432. Its totient is φ = 70656.

The previous prime is 315829. The next prime is 315851. The reversal of 315840 is 48513.

It is an interprime number because it is at equal distance from previous prime (315829) and next prime (315851).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315840.

It is an unprimeable number.

315840 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 6697 + ... + 6743.

2³¹⁵⁸⁴⁰ is an apocalyptic number.

315840 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 315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585216).

315840 is an abundant number, since it is smaller than the sum of its proper divisors (854592).

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

315840 is a wasteful number, since it uses less digits than its factorization.

315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 315840 is about 561.9964412699. The cubic root of 315840 is about 68.1013482971.

The spelling of 315840 in words is "three hundred fifteen thousand, eight hundred forty".