556633220 has 192 divisors, whose sum is σ = 1450939392. Its totient is φ = 176640000.

The previous prime is 556633219. The next prime is 556633223. The reversal of 556633220 is 22336655.

It is not an unprimeable number, because it can be changed into a prime (556633223) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5511170 + ... + 5511270.

It is an arithmetic number, because the mean of its divisors is an integer number (7556976).

Almost surely, 2^556633220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556633220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725469696).

556633220 is an abundant number, since it is smaller than the sum of its proper divisors (894306172).

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

556633220 is a wasteful number, since it uses less digits than its factorization.

556633220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 556633220 is about 23593.0756791055. The cubic root of 556633220 is about 822.6018979270.

Adding to 556633220 its reverse (22336655), we get a palindrome (578969875).

The spelling of 556633220 in words is "five hundred fifty-six million, six hundred thirty-three thousand, two hundred twenty".