556567760 has 240 divisors, whose sum is σ = 1662810240. Its totient is φ = 169205760.

The previous prime is 556567757. The next prime is 556567763. The reversal of 556567760 is 67765655.

It is an interprime number because it is at equal distance from previous prime (556567757) and next prime (556567763).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556567763) 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 47 ways as a sum of consecutive naturals, for example, 3074870 + ... + 3075050.

It is an arithmetic number, because the mean of its divisors is an integer number (6928376).

Almost surely, 2^556567760 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 556567760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831405120).

556567760 is an abundant number, since it is smaller than the sum of its proper divisors (1106242480).

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

556567760 is a wasteful number, since it uses less digits than its factorization.

556567760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 47.

The square root of 556567760 is about 23591.6883668804. The cubic root of 556567760 is about 822.5696507013.

The spelling of 556567760 in words is "five hundred fifty-six million, five hundred sixty-seven thousand, seven hundred sixty".