556096320 has 224 divisors, whose sum is σ = 2113117440. Its totient is φ = 136857600.

The previous prime is 556096319. The next prime is 556096349. The reversal of 556096320 is 23690655.

556096320 is a `hidden beast` number, since 5 + 560 + 96 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 109845 + ... + 114795.

It is an arithmetic number, because the mean of its divisors is an integer number (9433560).

Almost surely, 2^556096320 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 556096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056558720).

556096320 is an abundant number, since it is smaller than the sum of its proper divisors (1557021120).

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

556096320 is a wasteful number, since it uses less digits than its factorization.

556096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 556096320 is about 23581.6945955968. The cubic root of 556096320 is about 822.3373329085.

The spelling of 556096320 in words is "five hundred fifty-six million, ninety-six thousand, three hundred twenty".