314640 has 120 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 76032.

The previous prime is 314627. The next prime is 314641. The reversal of 314640 is 46413.

It is a tau number, because it is divible by the number of its divisors (120).

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 314640.

It is not an unprimeable number, because it can be changed into a prime (314641) by changing a digit.

314640 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 23 ways as a sum of consecutive naturals, for example, 13669 + ... + 13691.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2³¹⁴⁶⁴⁰ is an apocalyptic number.

314640 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 314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

314640 is an abundant number, since it is smaller than the sum of its proper divisors (846000).

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

314640 is a wasteful number, since it uses less digits than its factorization.

314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314640 is about 560.9278028410. The cubic root of 314640 is about 68.0149909279.

The spelling of 314640 in words is "three hundred fourteen thousand, six hundred forty".