213406180 has 24 divisors (see below), whose sum is σ = 482626872. Its totient is φ = 78796032.

The previous prime is 213406169. The next prime is 213406181. The reversal of 213406180 is 81604312.

It can be written as a sum of positive squares in 4 ways, for example, as 12730624 + 200675556 = 3568^2 + 14166^2 .

It is not an unprimeable number, because it can be changed into a prime (213406181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410137 + ... + 410656.

It is an arithmetic number, because the mean of its divisors is an integer number (20109453).

Almost surely, 2^213406180 is an apocalyptic number.

213406180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213406180 is an abundant number, since it is smaller than the sum of its proper divisors (269220692).

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

213406180 is a wasteful number, since it uses less digits than its factorization.

213406180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820815 (or 820813 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 213406180 is about 14608.4283891184. The cubic root of 213406180 is about 597.5886366757.

The spelling of 213406180 in words is "two hundred thirteen million, four hundred six thousand, one hundred eighty".