260832 has 96 divisors (see below), whose sum is σ = 846720. Its totient is φ = 69120.

The previous prime is 260809. The next prime is 260849. The reversal of 260832 is 238062.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 260799 and 260808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13719 + ... + 13737.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2²⁶⁰⁸³² is an apocalyptic number.

260832 is a gapful number since it is divisible by the number (22) 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 260832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

260832 is an abundant number, since it is smaller than the sum of its proper divisors (585888).

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

260832 is a wasteful number, since it uses less digits than its factorization.

260832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 260832 is about 510.7171428492. The cubic root of 260832 is about 63.8930505446.

Adding to 260832 its reverse (238062), we get a palindrome (498894).

The spelling of 260832 in words is "two hundred sixty thousand, eight hundred thirty-two".