261508200 has 48 divisors (see below), whose sum is σ = 810677280. Its totient is φ = 69735360.

The previous prime is 261508189. The next prime is 261508213. The reversal of 261508200 is 2805162.

261508200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217324 + ... + 218523.

It is an arithmetic number, because the mean of its divisors is an integer number (16889110).

Almost surely, 2^261508200 is an apocalyptic number.

261508200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261508200 is an abundant number, since it is smaller than the sum of its proper divisors (549169080).

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

261508200 is a wasteful number, since it uses less digits than its factorization.

261508200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435866 (or 435857 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 261508200 is about 16171.2151676984. The cubic root of 261508200 is about 639.4821657605.

The spelling of 261508200 in words is "two hundred sixty-one million, five hundred eight thousand, two hundred".