261050688 has 140 divisors (see below), whose sum is σ = 795334452. Its totient is φ = 84602880.

The previous prime is 261050683. The next prime is 261050723. The reversal of 261050688 is 886050162.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 142850304 + 118200384 = 11952^2 + 10872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261050683) 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 19 ways as a sum of consecutive naturals, for example, 191128 + ... + 192488.

Almost surely, 2^261050688 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 261050688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397667226).

261050688 is an abundant number, since it is smaller than the sum of its proper divisors (534283764).

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

261050688 is a wasteful number, since it uses less digits than its factorization.

261050688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 261050688 is about 16157.0630994621. The cubic root of 261050688 is about 639.1090206106.

The spelling of 261050688 in words is "two hundred sixty-one million, fifty thousand, six hundred eighty-eight".