260928 has 56 divisors (see below), whose sum is σ = 772160. Its totient is φ = 86400.

The previous prime is 260921. The next prime is 260941. The reversal of 260928 is 829062.

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

It is a nialpdrome in base 6 and base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260921) by changing a digit.

260928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1653 + ... + 1803.

2²⁶⁰⁹²⁸ 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 260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386080).

260928 is an abundant number, since it is smaller than the sum of its proper divisors (511232).

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

260928 is a wasteful number, since it uses less digits than its factorization.

260928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 260928 is about 510.8111196910. The cubic root of 260928 is about 63.9008882594.

260928 divided by its product of nonzero digits (1728) gives a palindrome (151).

The spelling of 260928 in words is "two hundred sixty thousand, nine hundred twenty-eight".