211560 has 64 divisors (see below), whose sum is σ = 665280. Its totient is φ = 53760.

The previous prime is 211559. The next prime is 211571. The reversal of 211560 is 65112.

211560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 211560.

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, 4899 + ... + 4941.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2²¹¹⁵⁶⁰ is an apocalyptic number.

211560 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 211560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

211560 is an abundant number, since it is smaller than the sum of its proper divisors (453720).

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

211560 is a wasteful number, since it uses less digits than its factorization.

211560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 211560 is about 459.9565196842. The cubic root of 211560 is about 59.5860394009.

Adding to 211560 its sum of digits (15), we get a triangular number (211575 = T₆₅₀).

Adding to 211560 its reverse (65112), we get a palindrome (276672).

The spelling of 211560 in words is "two hundred eleven thousand, five hundred sixty".