1268829216 has 72 divisors (see below), whose sum is σ = 3611672064. Its totient is φ = 422540160.

The previous prime is 1268829203. The next prime is 1268829223. The reversal of 1268829216 is 6129288621.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600001 + ... + 602111.

It is an arithmetic number, because the mean of its divisors is an integer number (50162112).

Almost surely, 2^1268829216 is an apocalyptic number.

1268829216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1268829216 is an abundant number, since it is smaller than the sum of its proper divisors (2342842848).

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

1268829216 is a wasteful number, since it uses less digits than its factorization.

1268829216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4203 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1268829216 is about 35620.6290792288. The cubic root of 1268829216 is about 1082.5992537182.

The spelling of 1268829216 in words is "one billion, two hundred sixty-eight million, eight hundred twenty-nine thousand, two hundred sixteen".