1261628760 has 256 divisors, whose sum is σ = 4547404800. Its totient is φ = 273917952.

The previous prime is 1261628741. The next prime is 1261628777. The reversal of 1261628760 is 678261621.

1261628760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1631734 + ... + 1632506.

It is an arithmetic number, because the mean of its divisors is an integer number (17763300).

Almost surely, 2^1261628760 is an apocalyptic number.

1261628760 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 1261628760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273702400).

1261628760 is an abundant number, since it is smaller than the sum of its proper divisors (3285776040).

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

1261628760 is a wasteful number, since it uses less digits than its factorization.

1261628760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1261628760 is about 35519.4138465150. The cubic root of 1261628760 is about 1080.5474933269.

The spelling of 1261628760 in words is "one billion, two hundred sixty-one million, six hundred twenty-eight thousand, seven hundred sixty".