1268134840 has 64 divisors (see below), whose sum is σ = 3267552960. Its totient is φ = 433904640.

The previous prime is 1268134799. The next prime is 1268134843. The reversal of 1268134840 is 484318621.

It is a self number, because there is not a number n which added to its sum of digits gives 1268134840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268134843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141534 + ... + 150226.

It is an arithmetic number, because the mean of its divisors is an integer number (51055515).

Almost surely, 2^1268134840 is an apocalyptic number.

1268134840 is a gapful number since it is divisible by the number (10) 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 1268134840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633776480).

1268134840 is an abundant number, since it is smaller than the sum of its proper divisors (1999418120).

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

1268134840 is a wasteful number, since it uses less digits than its factorization.

1268134840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 1268134840 is about 35610.8809214262. The cubic root of 1268134840 is about 1082.4017309148.

The spelling of 1268134840 in words is "one billion, two hundred sixty-eight million, one hundred thirty-four thousand, eight hundred forty".