216992160 has 576 divisors, whose sum is σ = 981227520. Its totient is φ = 42301440.

The previous prime is 216992159. The next prime is 216992173. The reversal of 216992160 is 61299612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106669 + ... + 2106771.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^216992160 is an apocalyptic number.

216992160 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 216992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490613760).

216992160 is an abundant number, since it is smaller than the sum of its proper divisors (764235360).

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

216992160 is a wasteful number, since it uses less digits than its factorization.

216992160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 216992160 is about 14730.6537533132. The cubic root of 216992160 is about 600.9172636644.

The spelling of 216992160 in words is "two hundred sixteen million, nine hundred ninety-two thousand, one hundred sixty".