216957216 has 96 divisors (see below), whose sum is σ = 653184000. Its totient is φ = 61767936.

The previous prime is 216957133. The next prime is 216957227. The reversal of 216957216 is 612759612.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 335005 + ... + 335651.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2^216957216 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 216957216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592000).

216957216 is an abundant number, since it is smaller than the sum of its proper divisors (436226784).

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

216957216 is a wasteful number, since it uses less digits than its factorization.

216957216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 216957216 is about 14729.4676074867. The cubic root of 216957216 is about 600.8850050793.

The spelling of 216957216 in words is "two hundred sixteen million, nine hundred fifty-seven thousand, two hundred sixteen".