216913984 has 63 divisors (see below), whose sum is σ = 502625487. Its totient is φ = 92609664.

The previous prime is 216913979. The next prime is 216914021. The reversal of 216913984 is 489319612.

It is a happy number.

The square root of 216913984 is 14728.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 216913984.

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 8 ways as a sum of consecutive naturals, for example, 824637 + ... + 824899.

Almost surely, 2^216913984 is an apocalyptic number.

216913984 is the 14728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216913984

216913984 is an abundant number, since it is smaller than the sum of its proper divisors (285711503).

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

216913984 is an frugal number, since it uses more digits than its factorization.

216913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 272 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The cubic root of 216913984 is about 600.8450906257.

The spelling of 216913984 in words is "two hundred sixteen million, nine hundred thirteen thousand, nine hundred eighty-four".