211216896 has 200 divisors, whose sum is σ = 689223744. Its totient is φ = 63866880.

The previous prime is 211216883. The next prime is 211216913. The reversal of 211216896 is 698612112.

It is a super-2 number, since 2×211216896² = 89225154311749632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 211216896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455961 + ... + 456423.

Almost surely, 2^211216896 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 211216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344611872).

211216896 is an abundant number, since it is smaller than the sum of its proper divisors (478006848).

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

211216896 is an equidigital number, since it uses as much as digits as its factorization.

211216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 479 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 211216896 is about 14533.3029969102. The cubic root of 211216896 is about 595.5381013506.

The spelling of 211216896 in words is "two hundred eleven million, two hundred sixteen thousand, eight hundred ninety-six".