216780336 has 240 divisors, whose sum is σ = 683616960. Its totient is φ = 63866880.

The previous prime is 216780301. The next prime is 216780349. The reversal of 216780336 is 633087612.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 216780336.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3553746 + ... + 3553806.

It is an arithmetic number, because the mean of its divisors is an integer number (2848404).

Almost surely, 2^216780336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216780336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341808480).

216780336 is an abundant number, since it is smaller than the sum of its proper divisors (466836624).

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

216780336 is a wasteful number, since it uses less digits than its factorization.

216780336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

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

The square root of 216780336 is about 14723.4620928639. The cubic root of 216780336 is about 600.7216649847.

The spelling of 216780336 in words is "two hundred sixteen million, seven hundred eighty thousand, three hundred thirty-six".