319140 has 60 divisors (see below), whose sum is σ = 1006236. Its totient is φ = 84672.

The previous prime is 319133. The next prime is 319147. The reversal of 319140 is 41913.

It is an interprime number because it is at equal distance from previous prime (319133) and next prime (319147).

It can be written as a sum of positive squares in 2 ways, for example, as 236196 + 82944 = 486^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

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 319140.

It is not an unprimeable number, because it can be changed into a prime (319147) by changing a digit.

319140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1522 + ... + 1718.

2³¹⁹¹⁴⁰ is an apocalyptic number.

319140 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 319140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503118).

319140 is an abundant number, since it is smaller than the sum of its proper divisors (687096).

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

319140 is a wasteful number, since it uses less digits than its factorization.

319140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 319140 is about 564.9247737531. The cubic root of 319140 is about 68.3377087555.

The spelling of 319140 in words is "three hundred nineteen thousand, one hundred forty".