216933120 has 144 divisors (see below), whose sum is σ = 769933920. Its totient is φ = 57839616.

The previous prime is 216933083. The next prime is 216933149. The reversal of 216933120 is 21339612.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31422 + ... + 37698.

Almost surely, 2^216933120 is an apocalyptic number.

216933120 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 216933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384966960).

216933120 is an abundant number, since it is smaller than the sum of its proper divisors (553000800).

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

216933120 is an equidigital number, since it uses as much as digits as its factorization.

216933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6307 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 216933120 is about 14728.6496326038. The cubic root of 216933120 is about 600.8627588174.

The spelling of 216933120 in words is "two hundred sixteen million, nine hundred thirty-three thousand, one hundred twenty".