213560 has 32 divisors (see below), whose sum is σ = 507600. Its totient is φ = 80640.

The previous prime is 213557. The next prime is 213589. The reversal of 213560 is 65312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 620 + ... + 900.

2²¹³⁵⁶⁰ is an apocalyptic number.

213560 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 213560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253800).

213560 is an abundant number, since it is smaller than the sum of its proper divisors (294040).

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

213560 is a wasteful number, since it uses less digits than its factorization.

213560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 213560 is about 462.1255240733. The cubic root of 213560 is about 59.7732179860.

Adding to 213560 its reverse (65312), we get a palindrome (278872).

The spelling of 213560 in words is "two hundred thirteen thousand, five hundred sixty".