214020 has 72 divisors (see below), whose sum is σ = 687960. Its totient is φ = 53760.

The previous prime is 214009. The next prime is 214021. The reversal of 214020 is 20412.

214020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 213444 = 24^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 213993 and 214011.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214020.

It is not an unprimeable number, because it can be changed into a prime (214021) by changing a digit.

214020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5200 + ... + 5240.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2²¹⁴⁰²⁰ is an apocalyptic number.

214020 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 214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980).

214020 is an abundant number, since it is smaller than the sum of its proper divisors (473940).

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

214020 is a wasteful number, since it uses less digits than its factorization.

214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 214020 is about 462.6229566288. The cubic root of 214020 is about 59.8161036111.

Adding to 214020 its reverse (20412), we get a palindrome (234432).

The spelling of 214020 in words is "two hundred fourteen thousand, twenty", and thus it is an iban number.