217980912 has 80 divisors (see below), whose sum is σ = 583157120. Its totient is φ = 70108416.

The previous prime is 217980881. The next prime is 217980937. The reversal of 217980912 is 219089712.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246423 + ... + 247305.

It is an arithmetic number, because the mean of its divisors is an integer number (7289464).

Almost surely, 2^217980912 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 217980912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291578560).

217980912 is an abundant number, since it is smaller than the sum of its proper divisors (365176208).

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

217980912 is a wasteful number, since it uses less digits than its factorization.

217980912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 217980912 is about 14764.1766448387. The cubic root of 217980912 is about 601.8285991581.

The spelling of 217980912 in words is "two hundred seventeen million, nine hundred eighty thousand, nine hundred twelve".