261128364 has 96 divisors (see below), whose sum is σ = 744629760. Its totient is φ = 69522432.

The previous prime is 261128363. The next prime is 261128389. The reversal of 261128364 is 463821162.

It is not an unprimeable number, because it can be changed into a prime (261128363) 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 31 ways as a sum of consecutive naturals, for example, 151942 + ... + 153650.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2^261128364 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 261128364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

261128364 is an abundant number, since it is smaller than the sum of its proper divisors (483501396).

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

261128364 is a wasteful number, since it uses less digits than its factorization.

261128364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1845 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 261128364 is about 16159.4666991210. The cubic root of 261128364 is about 639.1724035876.

The spelling of 261128364 in words is "two hundred sixty-one million, one hundred twenty-eight thousand, three hundred sixty-four".