261168 has 20 divisors (see below), whose sum is σ = 674808. Its totient is φ = 87040.

The previous prime is 261167. The next prime is 261169. The reversal of 261168 is 861162.

261168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261167) and next prime (261169).

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

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (261167) 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, 2673 + ... + 2768.

2²⁶¹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

261168 is an abundant number, since it is smaller than the sum of its proper divisors (413640).

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

261168 is a wasteful number, since it uses less digits than its factorization.

261168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5446 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 261168 is about 511.0459861891. The cubic root of 261168 is about 63.9204741394.

The spelling of 261168 in words is "two hundred sixty-one thousand, one hundred sixty-eight".