261867168 has 120 divisors (see below), whose sum is σ = 795231360. Its totient is φ = 84447360.

The previous prime is 261867163. The next prime is 261867173. The reversal of 261867168 is 861768162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (261867163) and next prime (261867173).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (261867163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78723 + ... + 81981.

It is an arithmetic number, because the mean of its divisors is an integer number (6626928).

Almost surely, 2^261867168 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 261867168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397615680).

261867168 is an abundant number, since it is smaller than the sum of its proper divisors (533364192).

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

261867168 is a wasteful number, since it uses less digits than its factorization.

261867168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3295 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 261867168 is about 16182.3103418517. The cubic root of 261867168 is about 639.7746341920.

The spelling of 261867168 in words is "two hundred sixty-one million, eight hundred sixty-seven thousand, one hundred sixty-eight".