1261482768 has 160 divisors (see below), whose sum is σ = 4456659200. Its totient is φ = 332688384.

The previous prime is 1261482749. The next prime is 1261482779. The reversal of 1261482768 is 8672841621.

1261482768 is a `hidden beast` number, since 1 + 2 + 614 + 8 + 27 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23268 + ... + 55356.

It is an arithmetic number, because the mean of its divisors is an integer number (27854120).

Almost surely, 2^1261482768 is an apocalyptic number.

1261482768 is a gapful number since it is divisible by the number (18) 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 1261482768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228329600).

1261482768 is an abundant number, since it is smaller than the sum of its proper divisors (3195176432).

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

1261482768 is a wasteful number, since it uses less digits than its factorization.

1261482768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32126 (or 32114 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1261482768 is about 35517.3586855780. The cubic root of 1261482768 is about 1080.5058124511.

The spelling of 1261482768 in words is "one billion, two hundred sixty-one million, four hundred eighty-two thousand, seven hundred sixty-eight".