216541020 has 96 divisors (see below), whose sum is σ = 629411328. Its totient is φ = 55579392.

The previous prime is 216541001. The next prime is 216541027. The reversal of 216541020 is 20145612.

216541020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216541027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228187 + ... + 229133.

It is an arithmetic number, because the mean of its divisors is an integer number (6556368).

Almost surely, 2^216541020 is an apocalyptic number.

216541020 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 216541020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314705664).

216541020 is an abundant number, since it is smaller than the sum of its proper divisors (412870308).

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

216541020 is a wasteful number, since it uses less digits than its factorization.

216541020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 216541020 is about 14715.3328198855. The cubic root of 216541020 is about 600.5005267832.

Adding to 216541020 its reverse (20145612), we get a palindrome (236686632).

The spelling of 216541020 in words is "two hundred sixteen million, five hundred forty-one thousand, twenty".