1267232256 has 240 divisors, whose sum is σ = 3920545200. Its totient is φ = 404103168.

The previous prime is 1267232249. The next prime is 1267232273. The reversal of 1267232256 is 6522327621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1267232256.

It is a congruent number.

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, 11625930 + ... + 11626038.

It is an arithmetic number, because the mean of its divisors is an integer number (16335605).

Almost surely, 2^1267232256 is an apocalyptic number.

1267232256 is a gapful number since it is divisible by the number (16) 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 1267232256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960272600).

1267232256 is an abundant number, since it is smaller than the sum of its proper divisors (2653312944).

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

1267232256 is an equidigital number, since it uses as much as digits as its factorization.

1267232256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 143 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 1267232256 is about 35598.2057974837. The cubic root of 1267232256 is about 1082.1448732776.

Adding to 1267232256 its reverse (6522327621), we get a palindrome (7789559877).

The spelling of 1267232256 in words is "one billion, two hundred sixty-seven million, two hundred thirty-two thousand, two hundred fifty-six".