1032786768 has 80 divisors (see below), whose sum is σ = 2901342080. Its totient is φ = 314675712.

The previous prime is 1032786763. The next prime is 1032786817. The reversal of 1032786768 is 8676872301.

1032786768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 32137²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032786763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56238 + ... + 72306.

It is an arithmetic number, because the mean of its divisors is an integer number (36266776).

Almost surely, 2^1032786768 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 1032786768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450671040).

1032786768 is an abundant number, since it is smaller than the sum of its proper divisors (1868555312).

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

1032786768 is a wasteful number, since it uses less digits than its factorization.

1032786768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16196 (or 16190 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 1032786768 is about 32136.9999844416. Note that the first 4 decimals coincide. The cubic root of 1032786768 is about 1010.8116104857.

The spelling of 1032786768 in words is "one billion, thirty-two million, seven hundred eighty-six thousand, seven hundred sixty-eight".