259680 has 48 divisors (see below), whose sum is σ = 819504. Its totient is φ = 69120.

The previous prime is 259667. The next prime is 259681. The reversal of 259680 is 86952.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (17073).

2²⁵⁹⁶⁸⁰ is an apocalyptic number.

259680 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 259680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409752).

259680 is an abundant number, since it is smaller than the sum of its proper divisors (559824).

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

259680 is a wasteful number, since it uses less digits than its factorization.

259680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 259680 is about 509.5880689341. The cubic root of 259680 is about 63.7988476058.

It can be divided in two parts, 259 and 680, that added together give a palindrome (939).

The spelling of 259680 in words is "two hundred fifty-nine thousand, six hundred eighty".