1268988672 has 108 divisors (see below), whose sum is σ = 3928882776. Its totient is φ = 362557440.

The previous prime is 1268988671. The next prime is 1268988719. The reversal of 1268988672 is 2768898621.

It is a super-2 number, since 2×1268988672² = 3220664499328647168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268988671) 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 11 ways as a sum of consecutive naturals, for example, 20772 + ... + 54492.

Almost surely, 2^1268988672 is an apocalyptic number.

1268988672 is a gapful number since it is divisible by the number (12) 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 1268988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964441388).

1268988672 is an abundant number, since it is smaller than the sum of its proper divisors (2659894104).

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

1268988672 is an equidigital number, since it uses as much as digits as its factorization.

1268988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33754 (or 33733 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The square root of 1268988672 is about 35622.8672624762. The cubic root of 1268988672 is about 1082.6446025362.

The spelling of 1268988672 in words is "one billion, two hundred sixty-eight million, nine hundred eighty-eight thousand, six hundred seventy-two".