1267313040 has 480 divisors, whose sum is σ = 5156336640. Its totient is φ = 283295232.

The previous prime is 1267313039. The next prime is 1267313063. The reversal of 1267313040 is 403137621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1267312995 and 1267313013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9117291 + ... + 9117429.

It is an arithmetic number, because the mean of its divisors is an integer number (10742368).

Almost surely, 2^1267313040 is an apocalyptic number.

1267313040 is a gapful number since it is divisible by the number (10) 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 1267313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578168320).

1267313040 is an abundant number, since it is smaller than the sum of its proper divisors (3889023600).

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

1267313040 is a wasteful number, since it uses less digits than its factorization.

1267313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1267313040 is about 35599.3404433284. The cubic root of 1267313040 is about 1082.1678677822.

The spelling of 1267313040 in words is "one billion, two hundred sixty-seven million, three hundred thirteen thousand, forty".