556506320 has 80 divisors (see below), whose sum is σ = 1337057280. Its totient is φ = 215288832.

The previous prime is 556506319. The next prime is 556506329. The reversal of 556506320 is 23605655.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556506329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 333809 + ... + 335471.

It is an arithmetic number, because the mean of its divisors is an integer number (16713216).

Almost surely, 2^556506320 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 556506320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668528640).

556506320 is an abundant number, since it is smaller than the sum of its proper divisors (780550960).

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

556506320 is a wasteful number, since it uses less digits than its factorization.

556506320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 556506320 is about 23590.3861774241. The cubic root of 556506320 is about 822.5393815273.

The spelling of 556506320 in words is "five hundred fifty-six million, five hundred six thousand, three hundred twenty".