261839232 has 96 divisors (see below), whose sum is σ = 773959680. Its totient is φ = 84907008.

The previous prime is 261839213. The next prime is 261839233. The reversal of 261839232 is 232938162.

261839232 is a `hidden beast` number, since 2 + 618 + 3 + 9 + 2 + 32 = 666.

261839232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (261839233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39553 + ... + 45695.

It is an arithmetic number, because the mean of its divisors is an integer number (8062080).

Almost surely, 2^261839232 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 261839232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386979840).

261839232 is an abundant number, since it is smaller than the sum of its proper divisors (512120448).

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

261839232 is a wasteful number, since it uses less digits than its factorization.

261839232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6185 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 261839232 is about 16181.4471540712. The cubic root of 261839232 is about 639.7518829884.

The spelling of 261839232 in words is "two hundred sixty-one million, eight hundred thirty-nine thousand, two hundred thirty-two".