1268712936 has 128 divisors (see below), whose sum is σ = 3763584000. Its totient is φ = 395043264.

The previous prime is 1268712919. The next prime is 1268712947. The reversal of 1268712936 is 6392178621.

1268712936 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1268712891 and 1268712900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210655 + ... + 216593.

It is an arithmetic number, because the mean of its divisors is an integer number (29403000).

Almost surely, 2^1268712936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268712936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881792000).

1268712936 is an abundant number, since it is smaller than the sum of its proper divisors (2494871064).

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

1268712936 is a wasteful number, since it uses less digits than its factorization.

1268712936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020 (or 6010 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1268712936 is about 35618.9968415732. The cubic root of 1268712936 is about 1082.5661816322.

The spelling of 1268712936 in words is "one billion, two hundred sixty-eight million, seven hundred twelve thousand, nine hundred thirty-six".