259320 has 32 divisors (see below), whose sum is σ = 778320. Its totient is φ = 69120.

The previous prime is 259309. The next prime is 259321. The reversal of 259320 is 23952.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259320.

It is not an unprimeable number, because it can be changed into a prime (259321) 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, 961 + ... + 1200.

2²⁵⁹³²⁰ is an apocalyptic number.

259320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259320 is an abundant number, since it is smaller than the sum of its proper divisors (519000).

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

259320 is a wasteful number, since it uses less digits than its factorization.

259320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 259320 is about 509.2347199475. The cubic root of 259320 is about 63.7693520641.

The spelling of 259320 in words is "two hundred fifty-nine thousand, three hundred twenty".