508896 has 96 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 155520.

The previous prime is 508867. The next prime is 508901. The reversal of 508896 is 698805.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 508896.

It is a congruent number.

It is an unprimeable number.

508896 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, 16401 + ... + 16431.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2⁵⁰⁸⁸⁹⁶ 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 508896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

508896 is an abundant number, since it is smaller than the sum of its proper divisors (1103904).

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

508896 is a wasteful number, since it uses less digits than its factorization.

508896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 508896 is about 713.3694694897. The cubic root of 508896 is about 79.8380055271.

It can be divided in two parts, 5088 and 96, that added together give a square (5184 = 72²).

The spelling of 508896 in words is "five hundred eight thousand, eight hundred ninety-six".