216556080 has 160 divisors (see below), whose sum is σ = 746618880. Its totient is φ = 51563520.

The previous prime is 216556069. The next prime is 216556097. The reversal of 216556080 is 80655612.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 95601 + ... + 97839.

It is an arithmetic number, because the mean of its divisors is an integer number (4666368).

Almost surely, 2^216556080 is an apocalyptic number.

216556080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216556080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373309440).

216556080 is an abundant number, since it is smaller than the sum of its proper divisors (530062800).

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

216556080 is a wasteful number, since it uses less digits than its factorization.

216556080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2293 counting only the distinct ones).

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

The square root of 216556080 is about 14715.8445221469. The cubic root of 216556080 is about 600.5144476688.

The spelling of 216556080 in words is "two hundred sixteen million, five hundred fifty-six thousand, eighty".