261324 has 72 divisors (see below), whose sum is σ = 812448. Its totient is φ = 69120.

The previous prime is 261323. The next prime is 261329. The reversal of 261324 is 423162.

It is a happy number.

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 zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 261297 and 261306.

It is not an unprimeable number, because it can be changed into a prime (261323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4254 + ... + 4314.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2²⁶¹³²⁴ 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 261324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

261324 is an abundant number, since it is smaller than the sum of its proper divisors (551124).

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

261324 is a wasteful number, since it uses less digits than its factorization.

261324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 90 counting only the distinct ones).

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

The square root of 261324 is about 511.1985915474. The cubic root of 261324 is about 63.9331985279.

Adding to 261324 its reverse (423162), we get a palindrome (684486).

It can be divided in two parts, 261 and 324, that added together give a palindrome (585).

The spelling of 261324 in words is "two hundred sixty-one thousand, three hundred twenty-four".