261980 has 12 divisors (see below), whose sum is σ = 550200. Its totient is φ = 104784.

The previous prime is 261977. The next prime is 261983. The reversal of 261980 is 89162.

It is an interprime number because it is at equal distance from previous prime (261977) and next prime (261983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261983) 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, 6530 + ... + 6569.

It is an arithmetic number, because the mean of its divisors is an integer number (45850).

2²⁶¹⁹⁸⁰ is an apocalyptic number.

261980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261980 is an abundant number, since it is smaller than the sum of its proper divisors (288220).

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

261980 is a wasteful number, since it uses less digits than its factorization.

261980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13108 (or 13106 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 261980 is about 511.8398186933. The cubic root of 261980 is about 63.9866508617.

The spelling of 261980 in words is "two hundred sixty-one thousand, nine hundred eighty".