261728000 has 72 divisors (see below), whose sum is σ = 652076880. Its totient is φ = 104678400.

The previous prime is 261727957. The next prime is 261728011. The reversal of 261728000 is 827162.

261728000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27911 + ... + 36089.

Almost surely, 2^261728000 is an apocalyptic number.

261728000 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 261728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326038440).

261728000 is an abundant number, since it is smaller than the sum of its proper divisors (390348880).

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

261728000 is an frugal number, since it uses more digits than its factorization.

261728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 261728000 is about 16178.0097663464. The cubic root of 261728000 is about 639.6612790964.

The spelling of 261728000 in words is "two hundred sixty-one million, seven hundred twenty-eight thousand".