1263668224 has 176 divisors, whose sum is σ = 3169345536. Its totient is φ = 490291200.

The previous prime is 1263668213. The next prime is 1263668227. The reversal of 1263668224 is 4228663621.

It is not an unprimeable number, because it can be changed into a prime (1263668227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6615969 + ... + 6616159.

Almost surely, 2^1263668224 is an apocalyptic number.

1263668224 is a gapful number since it is divisible by the number (14) 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 1263668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584672768).

1263668224 is an abundant number, since it is smaller than the sum of its proper divisors (1905677312).

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

1263668224 is a wasteful number, since it uses less digits than its factorization.

1263668224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 1263668224 is about 35548.1113984977. Note that the first 3 decimals coincide. The cubic root of 1263668224 is about 1081.1294266120.

The spelling of 1263668224 in words is "one billion, two hundred sixty-three million, six hundred sixty-eight thousand, two hundred twenty-four".