261468 has 36 divisors (see below), whose sum is σ = 687960. Its totient is φ = 86832.

The previous prime is 261467. The next prime is 261509. The reversal of 261468 is 864162.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2304) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 838 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2²⁶¹⁴⁶⁸ 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 261468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980).

261468 is an abundant number, since it is smaller than the sum of its proper divisors (426492).

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

261468 is a wasteful number, since it uses less digits than its factorization.

261468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 261468 is about 511.3394176083. The cubic root of 261468 is about 63.9449396233.

It can be divided in two parts, 261 and 468, that added together give a 6-th power (729 = 3⁶).

The spelling of 261468 in words is "two hundred sixty-one thousand, four hundred sixty-eight".