1118624256 has 220 divisors, whose sum is σ = 3443186802. Its totient is φ = 362797056.

The previous prime is 1118624249. The next prime is 1118624267. The reversal of 1118624256 is 6524268111.

It is a happy number.

1118624256 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 624 + 25 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 740710656 + 377913600 = 27216^2 + 19440^2 .

It is a super-2 number, since 2×1118624256² = 2502640452223107072, which contains 22 as substring.

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 1118624256.

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 21 ways as a sum of consecutive naturals, for example, 30233070 + ... + 30233106.

Almost surely, 2^1118624256 is an apocalyptic number.

1118624256 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 1118624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721593401).

1118624256 is an abundant number, since it is smaller than the sum of its proper divisors (2324562546).

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

1118624256 is an frugal number, since it uses more digits than its factorization.

1118624256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 42 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1118624256 is about 33445.8406382617. The cubic root of 1118624256 is about 1038.0734352804.

The spelling of 1118624256 in words is "one billion, one hundred eighteen million, six hundred twenty-four thousand, two hundred fifty-six".