261267384 has 32 divisors (see below), whose sum is σ = 746478720. Its totient is φ = 74647776.

The previous prime is 261267367. The next prime is 261267389. The reversal of 261267384 is 483762162.

It is a happy number.

261267384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (261267389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 777414 + ... + 777749.

It is an arithmetic number, because the mean of its divisors is an integer number (23327460).

Almost surely, 2^261267384 is an apocalyptic number.

261267384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261267384 is an abundant number, since it is smaller than the sum of its proper divisors (485211336).

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

261267384 is a wasteful number, since it uses less digits than its factorization.

261267384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555179 (or 1555175 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 261267384 is about 16163.7676301041. The cubic root of 261267384 is about 639.2858113922.

It can be divided in two parts, 2612 and 67384, that added together give a palindrome (69996).

The spelling of 261267384 in words is "two hundred sixty-one million, two hundred sixty-seven thousand, three hundred eighty-four".