1261110560 has 96 divisors (see below), whose sum is σ = 3166309440. Its totient is φ = 473306112.

The previous prime is 1261110527. The next prime is 1261110563. The reversal of 1261110560 is 650111621.

It is not an unprimeable number, because it can be changed into a prime (1261110563) 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 15 ways as a sum of consecutive naturals, for example, 323342 + ... + 327218.

It is an arithmetic number, because the mean of its divisors is an integer number (32982390).

Almost surely, 2^1261110560 is an apocalyptic number.

1261110560 is a gapful number since it is divisible by the number (10) 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 1261110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583154720).

1261110560 is an abundant number, since it is smaller than the sum of its proper divisors (1905198880).

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

1261110560 is a wasteful number, since it uses less digits than its factorization.

1261110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 1261110560 is about 35512.1184949589. The cubic root of 1261110560 is about 1080.3995321069.

The spelling of 1261110560 in words is "one billion, two hundred sixty-one million, one hundred ten thousand, five hundred sixty".