1268440096 has 144 divisors (see below), whose sum is σ = 3199839552. Its totient is φ = 484323840.

The previous prime is 1268440067. The next prime is 1268440097. The reversal of 1268440096 is 6900448621.

It is not an unprimeable number, because it can be changed into a prime (1268440097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1436071 + ... + 1436953.

It is an arithmetic number, because the mean of its divisors is an integer number (22221108).

Almost surely, 2^1268440096 is an apocalyptic number.

1268440096 is a gapful number since it is divisible by the number (16) 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 1268440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599919776).

1268440096 is an abundant number, since it is smaller than the sum of its proper divisors (1931399456).

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

1268440096 is a wasteful number, since it uses less digits than its factorization.

1268440096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 1268440096 is about 35615.1666569174. The cubic root of 1268440096 is about 1082.4885731823.

The spelling of 1268440096 in words is "one billion, two hundred sixty-eight million, four hundred forty thousand, ninety-six".