261208800 has 360 divisors, whose sum is σ = 992514600. Its totient is φ = 66769920.

The previous prime is 261208763. The next prime is 261208811. The reversal of 261208800 is 8802162.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1879131 + ... + 1879269.

It is an arithmetic number, because the mean of its divisors is an integer number (2756985).

Almost surely, 2^261208800 is an apocalyptic number.

261208800 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 261208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496257300).

261208800 is an abundant number, since it is smaller than the sum of its proper divisors (731305800).

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

261208800 is a wasteful number, since it uses less digits than its factorization.

261208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 261208800 is about 16161.9553272492. The cubic root of 261208800 is about 639.2380254561.

The spelling of 261208800 in words is "two hundred sixty-one million, two hundred eight thousand, eight hundred".