259020 has 36 divisors (see below), whose sum is σ = 786240. Its totient is φ = 69024.

The previous prime is 259019. The next prime is 259033. The reversal of 259020 is 20952.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 258984 and 259002.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259020.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2²⁵⁹⁰²⁰ is an apocalyptic number.

259020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259020 is an abundant number, since it is smaller than the sum of its proper divisors (527220).

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

259020 is a wasteful number, since it uses less digits than its factorization.

259020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 259020 is about 508.9400750580. The cubic root of 259020 is about 63.7447515864.

Subtracting from 259020 its product of nonzero digits (180), we obtain a triangular number (258840 = T₇₁₉).

Adding to 259020 its reverse (20952), we get a palindrome (279972).

It can be divided in two parts, 25 and 9020, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 259020 in words is "two hundred fifty-nine thousand, twenty".