259668900 has 108 divisors (see below), whose sum is σ = 842068500. Its totient is φ = 66850560.

The previous prime is 259668883. The next prime is 259668907. The reversal of 259668900 is 9866952.

It can be written as a sum of positive squares in 6 ways, for example, as 8573184 + 251095716 = 2928^2 + 15846^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (259668907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21126 + ... + 31074.

Almost surely, 2^259668900 is an apocalyptic number.

259668900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421034250).

259668900 is an abundant number, since it is smaller than the sum of its proper divisors (582399600).

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

259668900 is a wasteful number, since it uses less digits than its factorization.

259668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 259668900 is about 16114.2452507091. The cubic root of 259668900 is about 637.9793856738.

The spelling of 259668900 in words is "two hundred fifty-nine million, six hundred sixty-eight thousand, nine hundred".