506688 has 112 divisors (see below), whose sum is σ = 1706880. Its totient is φ = 129024.

The previous prime is 506687. The next prime is 506689. The reversal of 506688 is 886605.

It is an interprime number because it is at equal distance from previous prime (506687) and next prime (506689).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17458 + ... + 17486.

It is an arithmetic number, because the mean of its divisors is an integer number (15240).

2⁵⁰⁶⁶⁸⁸ is an apocalyptic number.

506688 is a gapful number since it is divisible by the number (58) 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 506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853440).

506688 is an abundant number, since it is smaller than the sum of its proper divisors (1200192).

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

506688 is a wasteful number, since it uses less digits than its factorization.

506688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 506688 is about 711.8202020173. The cubic root of 506688 is about 79.7223709744.

The spelling of 506688 in words is "five hundred six thousand, six hundred eighty-eight".