216984960 has 256 divisors, whose sum is σ = 796824000. Its totient is φ = 55738368.

The previous prime is 216984919. The next prime is 216985001. The reversal of 216984960 is 69489612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (216984919) and next prime (216985001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500904 + ... + 501336.

Almost surely, 2^216984960 is an apocalyptic number.

216984960 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 216984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398412000).

216984960 is an abundant number, since it is smaller than the sum of its proper divisors (579839040).

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

216984960 is a wasteful number, since it uses less digits than its factorization.

216984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 216984960 is about 14730.4093629471. The cubic root of 216984960 is about 600.9106172612.

The spelling of 216984960 in words is "two hundred sixteen million, nine hundred eighty-four thousand, nine hundred sixty".