1196528256 has 576 divisors, whose sum is σ = 4571199360. Its totient is φ = 296755200.

The previous prime is 1196528189. The next prime is 1196528269. The reversal of 1196528256 is 6528256911.

1196528256 is a `hidden beast` number, since 11 + 96 + 528 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 25458025 + ... + 25458071.

It is an arithmetic number, because the mean of its divisors is an integer number (7936110).

Almost surely, 2^1196528256 is an apocalyptic number.

1196528256 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 1196528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285599680).

1196528256 is an abundant number, since it is smaller than the sum of its proper divisors (3374671104).

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

1196528256 is a wasteful number, since it uses less digits than its factorization.

1196528256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 1196528256 is about 34590.8695467460. The cubic root of 1196528256 is about 1061.6327797151.

The spelling of 1196528256 in words is "one billion, one hundred ninety-six million, five hundred twenty-eight thousand, two hundred fifty-six".