508620 has 72 divisors (see below), whose sum is σ = 1666224. Its totient is φ = 115584.

The previous prime is 508619. The next prime is 508621. The reversal of 508620 is 26805.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (508619) and next prime (508621).

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

It is not an unprimeable number, because it can be changed into a prime (508621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2854 + ... + 3026.

It is an arithmetic number, because the mean of its divisors is an integer number (23142).

2⁵⁰⁸⁶²⁰ 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 508620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833112).

508620 is an abundant number, since it is smaller than the sum of its proper divisors (1157604).

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

508620 is a wasteful number, since it uses less digits than its factorization.

508620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 508620 is about 713.1759951092. The cubic root of 508620 is about 79.8235695230.

It can be divided in two parts, 508 and 620, that added together give a triangular number (1128 = T₄₇).

The spelling of 508620 in words is "five hundred eight thousand, six hundred twenty".