1263658968 has 240 divisors, whose sum is σ = 4185027000. Its totient is φ = 353134080.

The previous prime is 1263658933. The next prime is 1263658987. The reversal of 1263658968 is 8698563621.

It is a happy number.

1263658968 is a `hidden beast` number, since 1 + 26 + 36 + 589 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1204108 + ... + 1205156.

Almost surely, 2^1263658968 is an apocalyptic number.

1263658968 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 1263658968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092513500).

1263658968 is an abundant number, since it is smaller than the sum of its proper divisors (2921368032).

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

1263658968 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1263658967) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1078).

1263658968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1078 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1263658968 is about 35547.9812085018. The cubic root of 1263658968 is about 1081.1267869533.

The spelling of 1263658968 in words is "one billion, two hundred sixty-three million, six hundred fifty-eight thousand, nine hundred sixty-eight".