211684320 has 192 divisors, whose sum is σ = 780192000. Its totient is φ = 53457408.

The previous prime is 211684309. The next prime is 211684331. The reversal of 211684320 is 23486112.

It is an interprime number because it is at equal distance from previous prime (211684309) and next prime (211684331).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80791 + ... + 83369.

It is an arithmetic number, because the mean of its divisors is an integer number (4063500).

Almost surely, 2^211684320 is an apocalyptic number.

211684320 is a gapful number since it is divisible by the number (20) 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 211684320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390096000).

211684320 is an abundant number, since it is smaller than the sum of its proper divisors (568507680).

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

211684320 is a wasteful number, since it uses less digits than its factorization.

211684320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 211684320 is about 14549.3752443189. The cubic root of 211684320 is about 595.9770872383.

It can be divided in two parts, 2116 and 84320, that added together give a square (86436 = 294²).

The spelling of 211684320 in words is "two hundred eleven million, six hundred eighty-four thousand, three hundred twenty".