508116 has 48 divisors (see below), whose sum is σ = 1419264. Its totient is φ = 138336.

The previous prime is 508103. The next prime is 508129. The reversal of 508116 is 611805.

It is an interprime number because it is at equal distance from previous prime (508103) and next prime (508129).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 508092 and 508101.

It is a congruent number.

It is an unprimeable number.

508116 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, 1801 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (29568).

2⁵⁰⁸¹¹⁶ 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 508116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709632).

508116 is an abundant number, since it is smaller than the sum of its proper divisors (911148).

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

508116 is a wasteful number, since it uses less digits than its factorization.

508116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 508116 is about 712.8225585656. The cubic root of 508116 is about 79.7971946426.

The spelling of 508116 in words is "five hundred eight thousand, one hundred sixteen".