1117760256 has 288 divisors, whose sum is σ = 3532032000. Its totient is φ = 347922432.

The previous prime is 1117760153. The next prime is 1117760339. The reversal of 1117760256 is 6520677111.

It is a tau number, because it is divible by the number of its divisors (288).

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 1117760256.

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 31 ways as a sum of consecutive naturals, for example, 12559060 + ... + 12559148.

It is an arithmetic number, because the mean of its divisors is an integer number (12264000).

Almost surely, 2^1117760256 is an apocalyptic number.

1117760256 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 1117760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766016000).

1117760256 is an abundant number, since it is smaller than the sum of its proper divisors (2414271744).

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

1117760256 is an equidigital number, since it uses as much as digits as its factorization.

1117760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1117760256 is about 33432.9217389088. The cubic root of 1117760256 is about 1037.8061049841.

The spelling of 1117760256 in words is "one billion, one hundred seventeen million, seven hundred sixty thousand, two hundred fifty-six".