556169680 has 80 divisors (see below), whose sum is σ = 1431854784. Its totient is φ = 199203840.

The previous prime is 556169657. The next prime is 556169683. The reversal of 556169680 is 86961655.

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

It is a self number, because there is not a number n which added to its sum of digits gives 556169680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556169683) 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, 54244 + ... + 63676.

Almost surely, 2^556169680 is an apocalyptic number.

556169680 is the 11792-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556169680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715927392).

556169680 is an abundant number, since it is smaller than the sum of its proper divisors (875685104).

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

556169680 is a wasteful number, since it uses less digits than its factorization.

556169680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9524 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 556169680 is about 23583.2499880742. The cubic root of 556169680 is about 822.3734921205.

It can be divided in two parts, 556 and 169680, that added together give a triangular number (170236 = T₅₈₃).

The spelling of 556169680 in words is "five hundred fifty-six million, one hundred sixty-nine thousand, six hundred eighty".