261200 has 30 divisors (see below), whose sum is σ = 628494. Its totient is φ = 104320.

The previous prime is 261169. The next prime is 261223. The reversal of 261200 is 2162.

261200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 258064 = 56^2 + 508^2 .

It is a congruent number.

It is an unprimeable number.

261200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74 + ... + 726.

2²⁶¹²⁰⁰ is an apocalyptic number.

261200 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 261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314247).

261200 is an abundant number, since it is smaller than the sum of its proper divisors (367294).

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

261200 is a wasteful number, since it uses less digits than its factorization.

261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 261200 is about 511.0772935672. The cubic root of 261200 is about 63.9230846834.

Adding to 261200 its reverse (2162), we get a palindrome (263362).

The spelling of 261200 in words is "two hundred sixty-one thousand, two hundred".