506814 has 32 divisors (see below), whose sum is σ = 1264896. Its totient is φ = 131520.

The previous prime is 506809. The next prime is 506837. The reversal of 506814 is 418605.

506814 is a modest number, since divided by 814 gives 506 as remainder.

It is a Curzon number.

It is a plaindrome in base 16.

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 506814.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (39528).

2⁵⁰⁶⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632448).

506814 is an abundant number, since it is smaller than the sum of its proper divisors (758082).

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

506814 is a wasteful number, since it uses less digits than its factorization.

506814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 506814 is about 711.9087020117. The cubic root of 506814 is about 79.7289787134.

Subtracting from 506814 its reverse (418605), we obtain a square (88209 = 297²).

The spelling of 506814 in words is "five hundred six thousand, eight hundred fourteen".