261088200 has 144 divisors (see below), whose sum is σ = 905299200. Its totient is φ = 67363200.

The previous prime is 261088187. The next prime is 261088259. The reversal of 261088200 is 2880162.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53461 + ... + 58139.

It is an arithmetic number, because the mean of its divisors is an integer number (6286800).

Almost surely, 2^261088200 is an apocalyptic number.

261088200 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 261088200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452649600).

261088200 is an abundant number, since it is smaller than the sum of its proper divisors (644211000).

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

261088200 is a wasteful number, since it uses less digits than its factorization.

261088200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4720 counting only the distinct ones).

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

The square root of 261088200 is about 16158.2239122993. The cubic root of 261088200 is about 639.1396316636.

The spelling of 261088200 in words is "two hundred sixty-one million, eighty-eight thousand, two hundred".