216361920 has 224 divisors, whose sum is σ = 737372160. Its totient is φ = 53616640.

The previous prime is 216361919. The next prime is 216361933. The reversal of 216361920 is 29163612.

216361920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905161 + ... + 905399.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^216361920 is an apocalyptic number.

216361920 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 216361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368686080).

216361920 is an abundant number, since it is smaller than the sum of its proper divisors (521010240).

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

216361920 is a wasteful number, since it uses less digits than its factorization.

216361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 216361920 is about 14709.2460717740. The cubic root of 216361920 is about 600.3349241194.

The spelling of 216361920 in words is "two hundred sixteen million, three hundred sixty-one thousand, nine hundred twenty".