216580980 has 288 divisors, whose sum is σ = 794731392. Its totient is φ = 43545600.

The previous prime is 216580967. The next prime is 216581011. The reversal of 216580980 is 89085612.

216580980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196490 + ... + 1196670.

It is an arithmetic number, because the mean of its divisors is an integer number (2759484).

Almost surely, 2^216580980 is an apocalyptic number.

216580980 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 216580980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397365696).

216580980 is an abundant number, since it is smaller than the sum of its proper divisors (578150412).

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

216580980 is a wasteful number, since it uses less digits than its factorization.

216580980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 216580980 is about 14716.6905247070. The cubic root of 216580980 is about 600.5374628568.

The spelling of 216580980 in words is "two hundred sixteen million, five hundred eighty thousand, nine hundred eighty".