556616160 has 288 divisors, whose sum is σ = 2019693312. Its totient is φ = 139345920.

The previous prime is 556616147. The next prime is 556616161. The reversal of 556616160 is 61616655.

It is a tau number, because it is divible by the number of its divisors (288).

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 (556616161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1651512 + ... + 1651848.

It is an arithmetic number, because the mean of its divisors is an integer number (7012824).

Almost surely, 2^556616160 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 556616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009846656).

556616160 is an abundant number, since it is smaller than the sum of its proper divisors (1463077152).

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

556616160 is a wasteful number, since it uses less digits than its factorization.

556616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 556616160 is about 23592.7141295782. The cubic root of 556616160 is about 822.5934939899.

The spelling of 556616160 in words is "five hundred fifty-six million, six hundred sixteen thousand, one hundred sixty".