213484320 has 144 divisors (see below), whose sum is σ = 832628160. Its totient is φ = 48794112.

The previous prime is 213484319. The next prime is 213484331. The reversal of 213484320 is 23484312.

213484320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 16.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 510 + ... + 20669.

It is an arithmetic number, because the mean of its divisors is an integer number (5782140).

Almost surely, 2^213484320 is an apocalyptic number.

213484320 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 213484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416314080).

213484320 is an abundant number, since it is smaller than the sum of its proper divisors (619143840).

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

213484320 is a wasteful number, since it uses less digits than its factorization.

213484320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21207 (or 21196 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 213484320 is about 14611.1026277964. The cubic root of 213484320 is about 597.6615647073.

The spelling of 213484320 in words is "two hundred thirteen million, four hundred eighty-four thousand, three hundred twenty".