211420320 has 96 divisors (see below), whose sum is σ = 668461248. Its totient is φ = 56168448.

The previous prime is 211420289. The next prime is 211420343. The reversal of 211420320 is 23024112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211420320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161107 + ... + 162413.

It is an arithmetic number, because the mean of its divisors is an integer number (6963138).

Almost surely, 2^211420320 is an apocalyptic number.

211420320 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 211420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334230624).

211420320 is an abundant number, since it is smaller than the sum of its proper divisors (457040928).

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

211420320 is a wasteful number, since it uses less digits than its factorization.

211420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 211420320 is about 14540.2998593564. The cubic root of 211420320 is about 595.7292285339.

Adding to 211420320 its reverse (23024112), we get a palindrome (234444432).

The spelling of 211420320 in words is "two hundred eleven million, four hundred twenty thousand, three hundred twenty".