506920 has 64 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 177408.

The previous prime is 506911. The next prime is 506929. The reversal of 506920 is 29605.

It is an interprime number because it is at equal distance from previous prime (506911) and next prime (506929).

It is a junction number, because it is equal to n+sod(n) for n = 506891 and 506900.

It is not an unprimeable number, because it can be changed into a prime (506929) by changing a digit.

506920 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 15 ways as a sum of consecutive naturals, for example, 17466 + ... + 17494.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2⁵⁰⁶⁹²⁰ 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 506920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

506920 is an abundant number, since it is smaller than the sum of its proper divisors (789080).

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

506920 is a wasteful number, since it uses less digits than its factorization.

506920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 506920 is about 711.9831458679. The cubic root of 506920 is about 79.7345367568.

The spelling of 506920 in words is "five hundred six thousand, nine hundred twenty".