556206516 has 72 divisors (see below), whose sum is σ = 1475195904. Its totient is φ = 176362560.

The previous prime is 556206509. The next prime is 556206517. The reversal of 556206516 is 615602655.

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 not an unprimeable number, because it can be changed into a prime (556206517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156390 + ... + 159906.

It is an arithmetic number, because the mean of its divisors is an integer number (20488832).

Almost surely, 2^556206516 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 556206516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737597952).

556206516 is an abundant number, since it is smaller than the sum of its proper divisors (918989388).

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

556206516 is a wasteful number, since it uses less digits than its factorization.

556206516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 556206516 is about 23584.0309531683. The cubic root of 556206516 is about 822.3916474199.

The spelling of 556206516 in words is "five hundred fifty-six million, two hundred six thousand, five hundred sixteen".