314064 has 40 divisors (see below), whose sum is σ = 902720. Its totient is φ = 104544.

The previous prime is 314063. The next prime is 314077. The reversal of 314064 is 460413.

314064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 314064.

It is not an unprimeable number, because it can be changed into a prime (314063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2³¹⁴⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451360).

314064 is an abundant number, since it is smaller than the sum of its proper divisors (588656).

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

314064 is a wasteful number, since it uses less digits than its factorization.

314064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

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

The square root of 314064 is about 560.4141325841. The cubic root of 314064 is about 67.9734613857.

Adding to 314064 its reverse (460413), we get a palindrome (774477).

It can be divided in two parts, 31 and 4064, that added together give a triangular number (4095 = T₉₀).

The spelling of 314064 in words is "three hundred fourteen thousand, sixty-four".