216783360 has 180 divisors, whose sum is σ = 758601558. Its totient is φ = 57212928.

The previous prime is 216783353. The next prime is 216783361. The reversal of 216783360 is 63387612.

It is a happy number.

216783360 is a `hidden beast` number, since 216 + 7 + 83 + 360 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 164249856 + 52533504 = 12816^2 + 7248^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216783361) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2234832 + ... + 2234928.

Almost surely, 2^216783360 is an apocalyptic number.

216783360 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 216783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379300779).

216783360 is an abundant number, since it is smaller than the sum of its proper divisors (541818198).

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

216783360 is an frugal number, since it uses more digits than its factorization.

216783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 216783360 is about 14723.5647857440. The cubic root of 216783360 is about 600.7244582484.

The spelling of 216783360 in words is "two hundred sixteen million, seven hundred eighty-three thousand, three hundred sixty".