216993168 has 360 divisors, whose sum is σ = 787262112. Its totient is φ = 57480192.

The previous prime is 216993143. The next prime is 216993173. The reversal of 216993168 is 861399612.

It is a happy number.

216993168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (139968) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3238671 + ... + 3238737.

Almost surely, 2^216993168 is an apocalyptic number.

216993168 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 216993168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393631056).

216993168 is an abundant number, since it is smaller than the sum of its proper divisors (570268944).

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

216993168 is a wasteful number, since it uses less digits than its factorization.

216993168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 216993168 is about 14730.6879676409. The cubic root of 216993168 is about 600.9181941491.

The spelling of 216993168 in words is "two hundred sixteen million, nine hundred ninety-three thousand, one hundred sixty-eight".