216888672 has 384 divisors, whose sum is σ = 797948928. Its totient is φ = 49766400.

The previous prime is 216888671. The next prime is 216888677. The reversal of 216888672 is 276888612.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216888671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3555522 + ... + 3555582.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 2^216888672 is an apocalyptic number.

216888672 is a gapful number since it is divisible by the number (22) 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 216888672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398974464).

216888672 is an abundant number, since it is smaller than the sum of its proper divisors (581060256).

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

216888672 is a wasteful number, since it uses less digits than its factorization.

216888672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 216888672 is about 14727.1406593405. The cubic root of 216888672 is about 600.8217185617.

It can be divided in two parts, 216 and 888672, that added together give a palindrome (888888).

The spelling of 216888672 in words is "two hundred sixteen million, eight hundred eighty-eight thousand, six hundred seventy-two".