216733320 has 160 divisors (see below), whose sum is σ = 734944320. Its totient is φ = 57283200.

The previous prime is 216733313. The next prime is 216733331. The reversal of 216733320 is 23337612.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 489019 + ... + 489461.

It is an arithmetic number, because the mean of its divisors is an integer number (4593402).

Almost surely, 2^216733320 is an apocalyptic number.

216733320 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 216733320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367472160).

216733320 is an abundant number, since it is smaller than the sum of its proper divisors (518211000).

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

216733320 is a wasteful number, since it uses less digits than its factorization.

216733320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 216733320 is about 14721.8653709372. The cubic root of 216733320 is about 600.6782330444.

The spelling of 216733320 in words is "two hundred sixteen million, seven hundred thirty-three thousand, three hundred twenty".