261144744 has 128 divisors (see below), whose sum is σ = 789626880. Its totient is φ = 70387200.

The previous prime is 261144673. The next prime is 261144749. The reversal of 261144744 is 447441162.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (261144749) 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, 212917 + ... + 214139.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2^261144744 is an apocalyptic number.

261144744 is a gapful number since it is divisible by the number (24) 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 261144744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

261144744 is an abundant number, since it is smaller than the sum of its proper divisors (528482136).

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

261144744 is a wasteful number, since it uses less digits than its factorization.

261144744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1307 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 261144744 is about 16159.9735148298. The cubic root of 261144744 is about 639.1857679281.

The spelling of 261144744 in words is "two hundred sixty-one million, one hundred forty-four thousand, seven hundred forty-four".