213920 has 48 divisors (see below), whose sum is σ = 580608. Its totient is φ = 72960.

The previous prime is 213919. The next prime is 213929. The reversal of 213920 is 29312.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213920.

It is not an unprimeable number, because it can be changed into a prime (213929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1025 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2²¹³⁹²⁰ is an apocalyptic number.

213920 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 213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

213920 is an abundant number, since it is smaller than the sum of its proper divisors (366688).

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

213920 is a wasteful number, since it uses less digits than its factorization.

213920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 213920 is about 462.5148646260. The cubic root of 213920 is about 59.8067858803.

The spelling of 213920 in words is "two hundred thirteen thousand, nine hundred twenty".