216846720 has 320 divisors, whose sum is σ = 799761600. Its totient is φ = 55959552.

The previous prime is 216846689. The next prime is 216846731. The reversal of 216846720 is 27648612.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2436436 + ... + 2436524.

It is an arithmetic number, because the mean of its divisors is an integer number (2499255).

Almost surely, 2^216846720 is an apocalyptic number.

216846720 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 216846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399880800).

216846720 is an abundant number, since it is smaller than the sum of its proper divisors (582914880).

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

216846720 is an equidigital number, since it uses as much as digits as its factorization.

216846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 216846720 is about 14725.7162813902. The cubic root of 216846720 is about 600.7829777985.

The spelling of 216846720 in words is "two hundred sixteen million, eight hundred forty-six thousand, seven hundred twenty".