261880 has 16 divisors (see below), whose sum is σ = 589320. Its totient is φ = 104736.

The previous prime is 261847. The next prime is 261881. The reversal of 261880 is 88162.

261880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261880² = 137162268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3234 + ... + 3313.

2²⁶¹⁸⁸⁰ is an apocalyptic number.

261880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261880 is an abundant number, since it is smaller than the sum of its proper divisors (327440).

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

261880 is a wasteful number, since it uses less digits than its factorization.

261880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558 (or 6554 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 261880 is about 511.7421225578. The cubic root of 261880 is about 63.9785084088.

The spelling of 261880 in words is "two hundred sixty-one thousand, eight hundred eighty".