261792 has 60 divisors (see below), whose sum is σ = 777546. Its totient is φ = 86400.

The previous prime is 261791. The next prime is 261799. The reversal of 261792 is 297162.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 104976 = 396^2 + 324^2 .

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

It is an Ulam number.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261792.

It is not an unprimeable number, because it can be changed into a prime (261791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2542 + ... + 2642.

2²⁶¹⁷⁹² 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 261792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388773).

261792 is an abundant number, since it is smaller than the sum of its proper divisors (515754).

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

261792 is a wasteful number, since it uses less digits than its factorization.

261792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 261792 is about 511.6561345279. The cubic root of 261792 is about 63.9713413355.

The spelling of 261792 in words is "two hundred sixty-one thousand, seven hundred ninety-two".