261789696 has 144 divisors (see below), whose sum is σ = 864536400. Its totient is φ = 74760192.

The previous prime is 261789691. The next prime is 261789707. The reversal of 261789696 is 696987162.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261789691) 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 11 ways as a sum of consecutive naturals, for example, 128010 + ... + 130038.

It is an arithmetic number, because the mean of its divisors is an integer number (6003725).

Almost surely, 2^261789696 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 261789696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432268200).

261789696 is an abundant number, since it is smaller than the sum of its proper divisors (602746704).

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

261789696 is a wasteful number, since it uses less digits than its factorization.

261789696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2041 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 261789696 is about 16179.9164398337. The cubic root of 261789696 is about 639.7115366689.

The spelling of 261789696 in words is "two hundred sixty-one million, seven hundred eighty-nine thousand, six hundred ninety-six".