216420 has 24 divisors (see below), whose sum is σ = 606144. Its totient is φ = 57696.

The previous prime is 216401. The next prime is 216421. The reversal of 216420 is 24612.

216420 = T₁₃₇ + T₁₃₈ + ... + T₁₅₆.

216420 is nontrivially palindromic in base 7.

216420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 216420.

It is not an unprimeable number, because it can be changed into a prime (216421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1744 + ... + 1863.

It is an arithmetic number, because the mean of its divisors is an integer number (25256).

2²¹⁶⁴²⁰ is an apocalyptic number.

216420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216420 is an abundant number, since it is smaller than the sum of its proper divisors (389724).

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

216420 is a wasteful number, since it uses less digits than its factorization.

216420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 216420 is about 465.2096301669. The cubic root of 216420 is about 60.0388637103.

It can be divided in two parts, 216 and 420, that added together give a palindrome (636).

The spelling of 216420 in words is "two hundred sixteen thousand, four hundred twenty".