556601760 has 768 divisors, whose sum is σ = 2469035520. Its totient is φ = 115015680.

The previous prime is 556601729. The next prime is 556601797. The reversal of 556601760 is 67106655.

It is a happy number.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10501894 + ... + 10501946.

It is an arithmetic number, because the mean of its divisors is an integer number (3214890).

Almost surely, 2^556601760 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 556601760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234517760).

556601760 is an abundant number, since it is smaller than the sum of its proper divisors (1912433760).

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

556601760 is a wasteful number, since it uses less digits than its factorization.

556601760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 556601760 is about 23592.4089486428. The cubic root of 556601760 is about 822.5864002633.

The spelling of 556601760 in words is "five hundred fifty-six million, six hundred one thousand, seven hundred sixty".