261760044 has 72 divisors (see below), whose sum is σ = 755892480. Its totient is φ = 69031872.

The previous prime is 261760043. The next prime is 261760069. The reversal of 261760044 is 440067162.

It is a junction number, because it is equal to n+sod(n) for n = 261759993 and 261760020.

It is not an unprimeable number, because it can be changed into a prime (261760043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4977 + ... + 23415.

Almost surely, 2^261760044 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 261760044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377946240).

261760044 is an abundant number, since it is smaller than the sum of its proper divisors (494132436).

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

261760044 is a wasteful number, since it uses less digits than its factorization.

261760044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18479 (or 18464 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 261760044 is about 16179.0000927128. Note that the first 4 decimals coincide. The cubic root of 261760044 is about 639.6873831301.

The spelling of 261760044 in words is "two hundred sixty-one million, seven hundred sixty thousand, forty-four".