216006168 has 64 divisors (see below), whose sum is σ = 618716160. Its totient is φ = 61560576.

The previous prime is 216006151. The next prime is 216006209. The reversal of 216006168 is 861600612.

It is a super-2 number, since 2×216006168² = 93317329228088448, which contains 22 as substring.

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, 76396 + ... + 79172.

It is an arithmetic number, because the mean of its divisors is an integer number (9667440).

Almost surely, 2^216006168 is an apocalyptic number.

216006168 is a gapful number since it is divisible by the number (28) 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 216006168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309358080).

216006168 is an abundant number, since it is smaller than the sum of its proper divisors (402709992).

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

216006168 is a wasteful number, since it uses less digits than its factorization.

216006168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 216006168 is about 14697.1482948224. The cubic root of 216006168 is about 600.0057110568.

The spelling of 216006168 in words is "two hundred sixteen million, six thousand, one hundred sixty-eight".