1267868448 has 144 divisors (see below), whose sum is σ = 4495248576. Its totient is φ = 329310720.

The previous prime is 1267868401. The next prime is 1267868501. The reversal of 1267868448 is 8448687621.

1267868448 is a `hidden beast` number, since 126 + 78 + 6 + 8 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1267868394 and 1267868403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6411 + ... + 50762.

It is an arithmetic number, because the mean of its divisors is an integer number (31217004).

Almost surely, 2^1267868448 is an apocalyptic number.

1267868448 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 1267868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247624288).

1267868448 is an abundant number, since it is smaller than the sum of its proper divisors (3227380128).

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

1267868448 is a wasteful number, since it uses less digits than its factorization.

1267868448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57207 (or 57196 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 1267868448 is about 35607.1404075082. The cubic root of 1267868448 is about 1082.3259336769.

The spelling of 1267868448 in words is "one billion, two hundred sixty-seven million, eight hundred sixty-eight thousand, four hundred forty-eight".