261888 has 72 divisors (see below), whose sum is σ = 784896. Its totient is φ = 76800.

The previous prime is 261887. The next prime is 261917. The reversal of 261888 is 888162.

261888 is digitally balanced in base 3, 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 (33).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261888.

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 7 ways as a sum of consecutive naturals, for example, 8433 + ... + 8463.

261888 is a Friedman number, since it can be written as 8^6-8^(8/(2+1)), using all its digits and the basic arithmetic operations.

2²⁶¹⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392448).

261888 is an abundant number, since it is smaller than the sum of its proper divisors (523008).

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

261888 is a wasteful number, since it uses less digits than its factorization.

261888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 261888 is about 511.7499389350. The cubic root of 261888 is about 63.9791598813.

The spelling of 261888 in words is "two hundred sixty-one thousand, eight hundred eighty-eight".