216636672 has 144 divisors (see below), whose sum is σ = 671086080. Its totient is φ = 60758016.

The previous prime is 216636671. The next prime is 216636683. The reversal of 216636672 is 276636612.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 216636672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216636671) 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, 316843 + ... + 317525.

It is an arithmetic number, because the mean of its divisors is an integer number (4660320).

Almost surely, 2^216636672 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 216636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

216636672 is an abundant number, since it is smaller than the sum of its proper divisors (454449408).

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

216636672 is an equidigital number, since it uses as much as digits as its factorization.

216636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 754 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 216636672 is about 14718.5825404487. The cubic root of 216636672 is about 600.5889328521.

The spelling of 216636672 in words is "two hundred sixteen million, six hundred thirty-six thousand, six hundred seventy-two".