216752844 has 96 divisors (see below), whose sum is σ = 652377600. Its totient is φ = 54351360.

The previous prime is 216752821. The next prime is 216752849. The reversal of 216752844 is 448257612.

It is not an unprimeable number, because it can be changed into a prime (216752849) 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, 22752 + ... + 30840.

It is an arithmetic number, because the mean of its divisors is an integer number (6795600).

Almost surely, 2^216752844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216752844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326188800).

216752844 is an abundant number, since it is smaller than the sum of its proper divisors (435624756).

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

216752844 is a wasteful number, since it uses less digits than its factorization.

216752844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143 (or 8141 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 216752844 is about 14722.5284513225. The cubic root of 216752844 is about 600.6962694799.

The spelling of 216752844 in words is "two hundred sixteen million, seven hundred fifty-two thousand, eight hundred forty-four".