1263924864 has 128 divisors (see below), whose sum is σ = 3859272000. Its totient is φ = 406748160.

The previous prime is 1263924853. The next prime is 1263924881. The reversal of 1263924864 is 4684293621.

1263924864 is a `hidden beast` number, since 1 + 2 + 639 + 2 + 4 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93919 + ... + 106529.

Almost surely, 2^1263924864 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 1263924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929636000).

1263924864 is an abundant number, since it is smaller than the sum of its proper divisors (2595347136).

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

1263924864 is a wasteful number, since it uses less digits than its factorization.

1263924864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12663 (or 12645 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1263924864 is about 35551.7209710022. The cubic root of 1263924864 is about 1081.2026109784.

The spelling of 1263924864 in words is "one billion, two hundred sixty-three million, nine hundred twenty-four thousand, eight hundred sixty-four".