508648 has 32 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 210240.

The previous prime is 508643. The next prime is 508661. The reversal of 508648 is 846805.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (508643) by changing a digit.

508648 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 7 ways as a sum of consecutive naturals, for example, 1590 + ... + 1882.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁵⁰⁸⁶⁴⁸ 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 508648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

508648 is an abundant number, since it is smaller than the sum of its proper divisors (620312).

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

508648 is a wasteful number, since it uses less digits than its factorization.

508648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 508648 is about 713.1956253371. The cubic root of 508648 is about 79.8250342831.

It can be divided in two parts, 508 and 648, that added together give a square (1156 = 34²).

The spelling of 508648 in words is "five hundred eight thousand, six hundred forty-eight".