211986816 has 48 divisors (see below), whose sum is σ = 563848860. Its totient is φ = 70567168.

The previous prime is 211986767. The next prime is 211986829. The reversal of 211986816 is 618689112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 284941 + ... + 285683.

Almost surely, 2^211986816 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 211986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281924430).

211986816 is an abundant number, since it is smaller than the sum of its proper divisors (351862044).

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

211986816 is an frugal number, since it uses more digits than its factorization.

211986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 748 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 211986816 is about 14559.7670311032. The cubic root of 211986816 is about 596.2608350373.

The spelling of 211986816 in words is "two hundred eleven million, nine hundred eighty-six thousand, eight hundred sixteen".