259720 has 32 divisors (see below), whose sum is σ = 601920. Its totient is φ = 100800.

The previous prime is 259717. The next prime is 259723. The reversal of 259720 is 27952.

It is an interprime number because it is at equal distance from previous prime (259717) and next prime (259723).

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259723) 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, 1645 + ... + 1795.

It is an arithmetic number, because the mean of its divisors is an integer number (18810).

2²⁵⁹⁷²⁰ is an apocalyptic number.

259720 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 259720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300960).

259720 is an abundant number, since it is smaller than the sum of its proper divisors (342200).

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

259720 is a wasteful number, since it uses less digits than its factorization.

259720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 259720 is about 509.6273148096. The cubic root of 259720 is about 63.8021232051.

It can be divided in two parts, 259 and 720, that added together give a palindrome (979).

The spelling of 259720 in words is "two hundred fifty-nine thousand, seven hundred twenty".