259632 has 40 divisors (see below), whose sum is σ = 746480. Its totient is φ = 86400.

The previous prime is 259631. The next prime is 259639. The reversal of 259632 is 236952.

259632 is a `hidden beast` number, since 25 + 9 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 259596 and 259605.

It is not an unprimeable number, because it can be changed into a prime (259631) 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, 132 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (18662).

2²⁵⁹⁶³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373240).

259632 is an abundant number, since it is smaller than the sum of its proper divisors (486848).

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

259632 is a wasteful number, since it uses less digits than its factorization.

259632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 606 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 259632 is about 509.5409698935. The cubic root of 259632 is about 63.7949164426.

It can be divided in two parts, 2596 and 32, that added together give a triangular number (2628 = T₇₂).

The spelling of 259632 in words is "two hundred fifty-nine thousand, six hundred thirty-two".