213205160 has 128 divisors (see below), whose sum is σ = 593464320. Its totient is φ = 67264512.

The previous prime is 213205133. The next prime is 213205163. The reversal of 213205160 is 61502312.

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 (213205163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223244 + ... + 224196.

It is an arithmetic number, because the mean of its divisors is an integer number (4636440).

Almost surely, 2^213205160 is an apocalyptic number.

213205160 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 213205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296732160).

213205160 is an abundant number, since it is smaller than the sum of its proper divisors (380259160).

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

213205160 is a wasteful number, since it uses less digits than its factorization.

213205160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1031 counting only the distinct ones).

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

The square root of 213205160 is about 14601.5464934369. The cubic root of 213205160 is about 597.4009429456.

Adding to 213205160 its reverse (61502312), we get a palindrome (274707472).

The spelling of 213205160 in words is "two hundred thirteen million, two hundred five thousand, one hundred sixty".