261432 has 24 divisors (see below), whose sum is σ = 708240. Its totient is φ = 87120.

The previous prime is 261431. The next prime is 261433. The reversal of 261432 is 234162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (261431) and next prime (261433).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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 261432.

It is not an unprimeable number, because it can be changed into a prime (261431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1744 + ... + 1887.

It is an arithmetic number, because the mean of its divisors is an integer number (29510).

2²⁶¹⁴³² is an apocalyptic number.

It is an amenable number.

261432 is an abundant number, since it is smaller than the sum of its proper divisors (446808).

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

261432 is a wasteful number, since it uses less digits than its factorization.

261432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3636 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 261432 is about 511.3042147294. The cubic root of 261432 is about 63.9420047537.

Adding to 261432 its reverse (234162), we get a palindrome (495594).

The spelling of 261432 in words is "two hundred sixty-one thousand, four hundred thirty-two".