216684048 has 160 divisors (see below), whose sum is σ = 671956992. Its totient is φ = 58867200.

The previous prime is 216684047. The next prime is 216684059. The reversal of 216684048 is 840486612.

It is a junction number, because it is equal to n+sod(n) for n = 216683997 and 216684015.

It is not an unprimeable number, because it can be changed into a prime (216684047) 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, 739390 + ... + 739682.

Almost surely, 2^216684048 is an apocalyptic number.

216684048 is a gapful number since it is divisible by the number (28) 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 216684048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335978496).

216684048 is an abundant number, since it is smaller than the sum of its proper divisors (455272944).

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

216684048 is a wasteful number, since it uses less digits than its factorization.

216684048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 216684048 is about 14720.1918465759. The cubic root of 216684048 is about 600.6327103393.

The spelling of 216684048 in words is "two hundred sixteen million, six hundred eighty-four thousand, forty-eight".