213880160 has 144 divisors (see below), whose sum is σ = 567535248. Its totient is φ = 75709440.

The previous prime is 213880159. The next prime is 213880181. The reversal of 213880160 is 61088312.

213880160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1998827 + ... + 1998933.

It is an arithmetic number, because the mean of its divisors is an integer number (3941217).

Almost surely, 2^213880160 is an apocalyptic number.

213880160 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 213880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283767624).

213880160 is an abundant number, since it is smaller than the sum of its proper divisors (353655088).

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

213880160 is a wasteful number, since it uses less digits than its factorization.

213880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 213880160 is about 14624.6422178459. The cubic root of 213880160 is about 598.0307288751.

The spelling of 213880160 in words is "two hundred thirteen million, eight hundred eighty thousand, one hundred sixty".