216580056 has 128 divisors (see below), whose sum is σ = 680140800. Its totient is φ = 55831680.

The previous prime is 216580003. The next prime is 216580061. The reversal of 216580056 is 650085612.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 216579999 and 216580026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300865 + ... + 301583.

It is an arithmetic number, because the mean of its divisors is an integer number (5313600).

Almost surely, 2^216580056 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 216580056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340070400).

216580056 is an abundant number, since it is smaller than the sum of its proper divisors (463560744).

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

216580056 is a wasteful number, since it uses less digits than its factorization.

216580056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 216580056 is about 14716.6591317459. The cubic root of 216580056 is about 600.5366088308.

The spelling of 216580056 in words is "two hundred sixteen million, five hundred eighty thousand, fifty-six".