556234560 has 448 divisors, whose sum is σ = 2378903040. Its totient is φ = 119439360.

The previous prime is 556234537. The next prime is 556234561. The reversal of 556234560 is 65432655.

It is a happy number.

556234560 is a `hidden beast` number, since 5 + 5 + 62 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556234561) 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 63 ways as a sum of consecutive naturals, for example, 1027890 + ... + 1028430.

Almost surely, 2^556234560 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 556234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189451520).

556234560 is an abundant number, since it is smaller than the sum of its proper divisors (1822668480).

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

556234560 is a wasteful number, since it uses less digits than its factorization.

556234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 556234560 is about 23584.6255005247. The cubic root of 556234560 is about 822.4054688832.

The spelling of 556234560 in words is "five hundred fifty-six million, two hundred thirty-four thousand, five hundred sixty".