213846180 has 96 divisors (see below), whose sum is σ = 632669184. Its totient is φ = 53860224.

The previous prime is 213846173. The next prime is 213846209. The reversal of 213846180 is 81648312.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 113607 + ... + 115473.

It is an arithmetic number, because the mean of its divisors is an integer number (6590304).

Almost surely, 2^213846180 is an apocalyptic number.

213846180 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 213846180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316334592).

213846180 is an abundant number, since it is smaller than the sum of its proper divisors (418823004).

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

213846180 is a wasteful number, since it uses less digits than its factorization.

213846180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 213846180 is about 14623.4804338776. The cubic root of 213846180 is about 597.9990566832. Note that the first 3 decimals are identical.

The spelling of 213846180 in words is "two hundred thirteen million, eight hundred forty-six thousand, one hundred eighty".