260056800 has 216 divisors, whose sum is σ = 965797560. Its totient is φ = 65664000.

The previous prime is 260056777. The next prime is 260056801. The reversal of 260056800 is 8650062.

260056800 is a `hidden beast` number, since 2 + 600 + 56 + 8 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260056801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 135850 + ... + 137750.

It is an arithmetic number, because the mean of its divisors is an integer number (4471285).

Almost surely, 2^260056800 is an apocalyptic number.

260056800 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 260056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482898780).

260056800 is an abundant number, since it is smaller than the sum of its proper divisors (705740760).

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

260056800 is a wasteful number, since it uses less digits than its factorization.

260056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 260056800 is about 16126.2766936451. The cubic root of 260056800 is about 638.2969042255.

The spelling of 260056800 in words is "two hundred sixty million, fifty-six thousand, eight hundred".