213305064 has 64 divisors (see below), whose sum is σ = 611366400. Its totient is φ = 60752064.

The previous prime is 213305047. The next prime is 213305089. The reversal of 213305064 is 460503312.

It is a happy number.

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

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, 56467 + ... + 60125.

It is an arithmetic number, because the mean of its divisors is an integer number (9552600).

Almost surely, 2^213305064 is an apocalyptic number.

213305064 is a gapful number since it is divisible by the number (24) 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 213305064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305683200).

213305064 is an abundant number, since it is smaller than the sum of its proper divisors (398061336).

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

213305064 is a wasteful number, since it uses less digits than its factorization.

213305064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 213305064 is about 14604.9671002711. The cubic root of 213305064 is about 597.4942387241.

Adding to 213305064 its reverse (460503312), we get a palindrome (673808376).

The spelling of 213305064 in words is "two hundred thirteen million, three hundred five thousand, sixty-four".