1268689152 has 72 divisors (see below), whose sum is σ = 3467899456. Its totient is φ = 411457536.

The previous prime is 1268689151. The next prime is 1268689159. The reversal of 1268689152 is 2519868621.

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 (1268689151) 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 7 ways as a sum of consecutive naturals, for example, 6093 + ... + 50739.

Almost surely, 2^1268689152 is an apocalyptic number.

1268689152 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 1268689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733949728).

1268689152 is an abundant number, since it is smaller than the sum of its proper divisors (2199210304).

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

1268689152 is an equidigital number, since it uses as much as digits as its factorization.

1268689152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44703 (or 44689 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 1268689152 is about 35618.6629732223. The cubic root of 1268689152 is about 1082.5594167935.

The spelling of 1268689152 in words is "one billion, two hundred sixty-eight million, six hundred eighty-nine thousand, one hundred fifty-two".