508368 has 80 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 135168.

The previous prime is 508367. The next prime is 508373. The reversal of 508368 is 863805.

It is a Cunningham number, because it is equal to 713²-1.

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 508368.

It is not an unprimeable number, because it can be changed into a prime (508363) 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, 5668 + ... + 5756.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2⁵⁰⁸³⁶⁸ 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 508368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

508368 is an abundant number, since it is smaller than the sum of its proper divisors (1098672).

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

508368 is a wasteful number, since it uses less digits than its factorization.

508368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 508368 is about 712.9992987374. Note that the first 3 decimals coincide. The cubic root of 508368 is about 79.8103842618.

It can be divided in two parts, 5083 and 68, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 508368 in words is "five hundred eight thousand, three hundred sixty-eight".