216801584 has 20 divisors (see below), whose sum is σ = 420728280. Its totient is φ = 108226560.

The previous prime is 216801523. The next prime is 216801587. The reversal of 216801584 is 485108612.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (216801587) 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 3 ways as a sum of consecutive naturals, for example, 314 + ... + 20825.

It is an arithmetic number, because the mean of its divisors is an integer number (21036414).

Almost surely, 2^216801584 is an apocalyptic number.

It is an amenable number.

216801584 is a deficient number, since it is larger than the sum of its proper divisors (203926696).

216801584 is a wasteful number, since it uses less digits than its factorization.

216801584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21788 (or 21782 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 216801584 is about 14724.1836446032. The cubic root of 216801584 is about 600.7412911759.

The spelling of 216801584 in words is "two hundred sixteen million, eight hundred one thousand, five hundred eighty-four".