1261048680 has 96 divisors (see below), whose sum is σ = 4110561000. Its totient is φ = 335282688.

The previous prime is 1261048667. The next prime is 1261048687. The reversal of 1261048680 is 868401621.

It can be written as a sum of positive squares in 4 ways, for example, as 1045487556 + 215561124 = 32334^2 + 14682^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1261048687) 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, 120622 + ... + 130658.

Almost surely, 2^1261048680 is an apocalyptic number.

1261048680 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 1261048680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055280500).

1261048680 is an abundant number, since it is smaller than the sum of its proper divisors (2849512320).

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

1261048680 is a wasteful number, since it uses less digits than its factorization.

1261048680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1261048680 is about 35511.2472323910. The cubic root of 1261048680 is about 1080.3818608525.

The spelling of 1261048680 in words is "one billion, two hundred sixty-one million, forty-eight thousand, six hundred eighty".