260920800 has 432 divisors, whose sum is σ = 1091930112. Its totient is φ = 57369600.

The previous prime is 260920789. The next prime is 260920813. The reversal of 260920800 is 8029062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1562317 + ... + 1562483.

It is an arithmetic number, because the mean of its divisors is an integer number (2527616).

Almost surely, 2^260920800 is an apocalyptic number.

260920800 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 260920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545965056).

260920800 is an abundant number, since it is smaller than the sum of its proper divisors (831009312).

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

260920800 is a wasteful number, since it uses less digits than its factorization.

260920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

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

The square root of 260920800 is about 16153.0430569599. The cubic root of 260920800 is about 639.0030049746.

Adding to 260920800 its reverse (8029062), we get a palindrome (268949862).

It can be divided in two parts, 2609 and 20800, that added together give a square (23409 = 153²).

The spelling of 260920800 in words is "two hundred sixty million, nine hundred twenty thousand, eight hundred".