1268262468 has 288 divisors, whose sum is σ = 3860447360. Its totient is φ = 359251200.

The previous prime is 1268262451. The next prime is 1268262469. The reversal of 1268262468 is 8642628621.

1268262468 is a `hidden beast` number, since 12 + 6 + 8 + 2 + 624 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1268262469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20791158 + ... + 20791218.

Almost surely, 2^1268262468 is an apocalyptic number.

1268262468 is a gapful number since it is divisible by the number (18) 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 1268262468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930223680).

1268262468 is an abundant number, since it is smaller than the sum of its proper divisors (2592184892).

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

1268262468 is a wasteful number, since it uses less digits than its factorization.

1268262468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1268262468 is about 35612.6728567233. The cubic root of 1268262468 is about 1082.4380414946.

The spelling of 1268262468 in words is "one billion, two hundred sixty-eight million, two hundred sixty-two thousand, four hundred sixty-eight".