1268963136 has 84 divisors (see below), whose sum is σ = 4156874592. Its totient is φ = 362559744.

The previous prime is 1268963117. The next prime is 1268963159. The reversal of 1268963136 is 6313698621.

1268963136 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 9 + 631 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×1268963136³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1268963091 and 1268963100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153330 + ... + 161393.

Almost surely, 2^1268963136 is an apocalyptic number.

1268963136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1268963136 is an abundant number, since it is smaller than the sum of its proper divisors (2887911456).

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

1268963136 is a wasteful number, since it uses less digits than its factorization.

1268963136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314748 (or 314735 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1268963136 is about 35622.5088392157. The cubic root of 1268963136 is about 1082.6373404283.

The spelling of 1268963136 in words is "one billion, two hundred sixty-eight million, nine hundred sixty-three thousand, one hundred thirty-six".