261766944 has 48 divisors (see below), whose sum is σ = 763489440. Its totient is φ = 87255360.

The previous prime is 261766907. The next prime is 261766949. The reversal of 261766944 is 449667162.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 261766944.

It is not an unprimeable number, because it can be changed into a prime (261766949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150622 + ... + 152349.

It is an arithmetic number, because the mean of its divisors is an integer number (15906030).

Almost surely, 2^261766944 is an apocalyptic number.

261766944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261766944 is an abundant number, since it is smaller than the sum of its proper divisors (501722496).

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

261766944 is a wasteful number, since it uses less digits than its factorization.

261766944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302990 (or 302976 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 261766944 is about 16179.2133306907. The cubic root of 261766944 is about 639.6930038048.

The spelling of 261766944 in words is "two hundred sixty-one million, seven hundred sixty-six thousand, nine hundred forty-four".