259624 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 115456.

The previous prime is 259621. The next prime is 259627. The reversal of 259624 is 426952.

It is an interprime number because it is at equal distance from previous prime (259621) and next prime (259627).

It is a junction number, because it is equal to n+sod(n) for n = 259592 and 259601.

It is not an unprimeable number, because it can be changed into a prime (259621) 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, 3087 + ... + 3169.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2²⁵⁹⁶²⁴ is an apocalyptic number.

It is an amenable number.

259624 is an abundant number, since it is smaller than the sum of its proper divisors (284696).

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

259624 is a wasteful number, since it uses less digits than its factorization.

259624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 259624 is about 509.5331196301. The cubic root of 259624 is about 63.7942612016.

The spelling of 259624 in words is "two hundred fifty-nine thousand, six hundred twenty-four".