1262828864 has 112 divisors (see below), whose sum is σ = 2846563776. Its totient is φ = 550809600.

The previous prime is 1262828851. The next prime is 1262828891. The reversal of 1262828864 is 4688282621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1933562 + ... + 1934214.

It is an arithmetic number, because the mean of its divisors is an integer number (25415748).

Almost surely, 2^1262828864 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 1262828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423281888).

1262828864 is an abundant number, since it is smaller than the sum of its proper divisors (1583734912).

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

1262828864 is a wasteful number, since it uses less digits than its factorization.

1262828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its digits is 589824, while the sum is 47.

The square root of 1262828864 is about 35536.3034656111. The cubic root of 1262828864 is about 1080.8900025367.

The spelling of 1262828864 in words is "one billion, two hundred sixty-two million, eight hundred twenty-eight thousand, eight hundred sixty-four".