213106560 has 128 divisors (see below), whose sum is σ = 719344800. Its totient is φ = 53477376.

The previous prime is 213106559. The next prime is 213106573. The reversal of 213106560 is 65601312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213106560.

It is a congruent number.

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, 29376 + ... + 35904.

Almost surely, 2^213106560 is an apocalyptic number.

213106560 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 213106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359672400).

213106560 is an abundant number, since it is smaller than the sum of its proper divisors (506238240).

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

213106560 is a wasteful number, since it uses less digits than its factorization.

213106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 213106560 is about 14598.1697482938. The cubic root of 213106560 is about 597.3088363324.

Adding to 213106560 its reverse (65601312), we get a palindrome (278707872).

The spelling of 213106560 in words is "two hundred thirteen million, one hundred six thousand, five hundred sixty".