1261586788 has 96 divisors (see below), whose sum is σ = 2882912256. Its totient is φ = 468720000.

The previous prime is 1261586783. The next prime is 1261586789. The reversal of 1261586788 is 8876851621.

It is not an unprimeable number, because it can be changed into a prime (1261586783) 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 31 ways as a sum of consecutive naturals, for example, 676978 + ... + 678838.

It is an arithmetic number, because the mean of its divisors is an integer number (30030336).

Almost surely, 2^1261586788 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 1261586788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441456128).

1261586788 is an abundant number, since it is smaller than the sum of its proper divisors (1621325468).

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

1261586788 is a wasteful number, since it uses less digits than its factorization.

1261586788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1983 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 52.

The square root of 1261586788 is about 35518.8230097789. The cubic root of 1261586788 is about 1080.5355106043.

The spelling of 1261586788 in words is "one billion, two hundred sixty-one million, five hundred eighty-six thousand, seven hundred eighty-eight".