261133360 has 40 divisors (see below), whose sum is σ = 611184096. Its totient is φ = 103756800.

The previous prime is 261133357. The next prime is 261133361. The reversal of 261133360 is 63331162.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (261133361) 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 7 ways as a sum of consecutive naturals, for example, 1272 + ... + 22888.

Almost surely, 2^261133360 is an apocalyptic number.

261133360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261133360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305592048).

261133360 is an abundant number, since it is smaller than the sum of its proper divisors (350050736).

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

261133360 is a wasteful number, since it uses less digits than its factorization.

261133360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21781 (or 21775 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 261133360 is about 16159.6212826910. The cubic root of 261133360 is about 639.1764798523.

The spelling of 261133360 in words is "two hundred sixty-one million, one hundred thirty-three thousand, three hundred sixty".