1005556896 has 192 divisors, whose sum is σ = 3020976000. Its totient is φ = 325306368.

The previous prime is 1005556891. The next prime is 1005556907. The reversal of 1005556896 is 6986555001.

It is a happy number.

1005556896 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 556 + 8 + 96 = 666.

It is a super-2 number, since 2×1005556896² = 2022289342186309632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005556891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6748630 + ... + 6748778.

It is an arithmetic number, because the mean of its divisors is an integer number (15734250).

Almost surely, 2^1005556896 is an apocalyptic number.

1005556896 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 1005556896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510488000).

1005556896 is an abundant number, since it is smaller than the sum of its proper divisors (2015419104).

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

1005556896 is a wasteful number, since it uses less digits than its factorization.

1005556896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 1005556896 is about 31710.5171197191. The cubic root of 1005556896 is about 1001.8488782093.

The spelling of 1005556896 in words is "one billion, five million, five hundred fifty-six thousand, eight hundred ninety-six".