216541620 has 96 divisors (see below), whose sum is σ = 676166400. Its totient is φ = 57532032.

The previous prime is 216541609. The next prime is 216541621. The reversal of 216541620 is 26145612.

216541620 is a `hidden beast` number, since 2 + 1 + 654 + 1 + 6 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216541621) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 193302 + ... + 194418.

It is an arithmetic number, because the mean of its divisors is an integer number (7043400).

Almost surely, 2^216541620 is an apocalyptic number.

216541620 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 216541620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338083200).

216541620 is an abundant number, since it is smaller than the sum of its proper divisors (459624780).

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

216541620 is a wasteful number, since it uses less digits than its factorization.

216541620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216541620 is about 14715.3532067701. The cubic root of 216541620 is about 600.5010814125.

The spelling of 216541620 in words is "two hundred sixteen million, five hundred forty-one thousand, six hundred twenty".