505680 has 120 divisors (see below), whose sum is σ = 1865952. Its totient is φ = 112896.

The previous prime is 505669. The next prime is 505691. The reversal of 505680 is 86505.

It is an interprime number because it is at equal distance from previous prime (505669) and next prime (505691).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 505680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11739 + ... + 11781.

2⁵⁰⁵⁶⁸⁰ 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 505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932976).

505680 is an abundant number, since it is smaller than the sum of its proper divisors (1360272).

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

505680 is a wasteful number, since it uses less digits than its factorization.

505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 505680 is about 711.1118055552. Note that the first 3 decimals coincide. The cubic root of 505680 is about 79.6694695846.

The spelling of 505680 in words is "five hundred five thousand, six hundred eighty".