1263924648 has 192 divisors, whose sum is σ = 4083730560. Its totient is φ = 358753536.

The previous prime is 1263924643. The next prime is 1263924659. The reversal of 1263924648 is 8464293621.

1263924648 is a `hidden beast` number, since 1 + 2 + 639 + 2 + 4 + 6 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263924643) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3986986 + ... + 3987302.

It is an arithmetic number, because the mean of its divisors is an integer number (21269430).

Almost surely, 2^1263924648 is an apocalyptic number.

1263924648 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 1263924648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041865280).

1263924648 is an abundant number, since it is smaller than the sum of its proper divisors (2819805912).

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

1263924648 is a wasteful number, since it uses less digits than its factorization.

1263924648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

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

The square root of 1263924648 is about 35551.7179331745. The cubic root of 1263924648 is about 1081.2025493873.

The spelling of 1263924648 in words is "one billion, two hundred sixty-three million, nine hundred twenty-four thousand, six hundred forty-eight".