213120560 has 40 divisors (see below), whose sum is σ = 506056896. Its totient is φ = 83432960.

The previous prime is 213120547. The next prime is 213120563. The reversal of 213120560 is 65021312.

213120560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (213120563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24581 + ... + 32100.

Almost surely, 2^213120560 is an apocalyptic number.

213120560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120560 is an abundant number, since it is smaller than the sum of its proper divisors (292936336).

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

213120560 is a wasteful number, since it uses less digits than its factorization.

213120560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56741 (or 56735 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 213120560 is about 14598.6492525850. The cubic root of 213120560 is about 597.3219160808.

Adding to 213120560 its reverse (65021312), we get a palindrome (278141872).

The spelling of 213120560 in words is "two hundred thirteen million, one hundred twenty thousand, five hundred sixty".