259820 has 24 divisors (see below), whose sum is σ = 595728. Its totient is φ = 94400.

The previous prime is 259813. The next prime is 259823. The reversal of 259820 is 28952.

It is a self number, because there is not a number n which added to its sum of digits gives 259820.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259820.

It is not an unprimeable number, because it can be changed into a prime (259823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371 + ... + 810.

It is an arithmetic number, because the mean of its divisors is an integer number (24822).

2²⁵⁹⁸²⁰ is an apocalyptic number.

259820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259820 is an abundant number, since it is smaller than the sum of its proper divisors (335908).

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

259820 is a wasteful number, since it uses less digits than its factorization.

259820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 259820 is about 509.7254162782. The cubic root of 259820 is about 63.8103107323.

The spelling of 259820 in words is "two hundred fifty-nine thousand, eight hundred twenty".