216921120 has 96 divisors (see below), whose sum is σ = 735884352. Its totient is φ = 53394432.

The previous prime is 216921113. The next prime is 216921127. The reversal of 216921120 is 21129612.

216921120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216921113) and next prime (216921127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (216921127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11142 + ... + 23621.

It is an arithmetic number, because the mean of its divisors is an integer number (7665462).

Almost surely, 2^216921120 is an apocalyptic number.

216921120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216921120 is an abundant number, since it is smaller than the sum of its proper divisors (518963232).

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

216921120 is a wasteful number, since it uses less digits than its factorization.

216921120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34794 (or 34786 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 216921120 is about 14728.2422576491. The cubic root of 216921120 is about 600.8516793872.

The spelling of 216921120 in words is "two hundred sixteen million, nine hundred twenty-one thousand, one hundred twenty".