260928000 has 320 divisors, whose sum is σ = 970295040. Its totient is φ = 69120000.

The previous prime is 260927941. The next prime is 260928029. The reversal of 260928000 is 829062.

260928000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727925 + ... + 1728075.

It is an arithmetic number, because the mean of its divisors is an integer number (3032172).

Almost surely, 2^260928000 is an apocalyptic number.

260928000 is a gapful number since it is divisible by the number (20) 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 260928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485147520).

260928000 is an abundant number, since it is smaller than the sum of its proper divisors (709367040).

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

260928000 is an equidigital number, since it uses as much as digits as its factorization.

260928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

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

The square root of 260928000 is about 16153.2659236453. The cubic root of 260928000 is about 639.0088825938.

The spelling of 260928000 in words is "two hundred sixty million, nine hundred twenty-eight thousand".