216384160 has 192 divisors, whose sum is σ = 587865600. Its totient is φ = 74760192.

The previous prime is 216384139. The next prime is 216384163. The reversal of 216384160 is 61483612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (216384163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2739001 + ... + 2739079.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^216384160 is an apocalyptic number.

216384160 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 216384160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293932800).

216384160 is an abundant number, since it is smaller than the sum of its proper divisors (371481440).

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

216384160 is a wasteful number, since it uses less digits than its factorization.

216384160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 216384160 is about 14710.0020394288. The cubic root of 216384160 is about 600.3554930366.

The spelling of 216384160 in words is "two hundred sixteen million, three hundred eighty-four thousand, one hundred sixty".