216205416 has 64 divisors (see below), whose sum is σ = 686371200. Its totient is φ = 61772544.

The previous prime is 216205369. The next prime is 216205417. The reversal of 216205416 is 614502612.

216205416 is a `hidden beast` number, since 21 + 620 + 5 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 216205416.

It is not an unprimeable number, because it can be changed into a prime (216205417) by changing a digit.

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, 69985 + ... + 73008.

It is an arithmetic number, because the mean of its divisors is an integer number (10724550).

Almost surely, 2^216205416 is an apocalyptic number.

It is an amenable number.

216205416 is an abundant number, since it is smaller than the sum of its proper divisors (470165784).

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

216205416 is a wasteful number, since it uses less digits than its factorization.

216205416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143015 (or 143005 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216205416 is about 14703.9251902341. The cubic root of 216205416 is about 600.1901397384.

The spelling of 216205416 in words is "two hundred sixteen million, two hundred five thousand, four hundred sixteen".