4213620 has 126 divisors (see below), whose sum is σ = 14093142. Its totient is φ = 1057536.

The previous prime is 4213609. The next prime is 4213639. The reversal of 4213620 is 263124.

It is a happy number.

4213620 is a `hidden beast` number, since 42 + 1 + 3 + 620 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1411344 + 2802276 = 1188^2 + 1674^2 .

It is a super-3 number, since 3×4213620³ (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4213593 and 4213602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 247852 + ... + 247868.

Almost surely, 2^4213620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046571).

4213620 is an abundant number, since it is smaller than the sum of its proper divisors (9879522).

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

4213620 is a wasteful number, since it uses less digits than its factorization.

4213620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4213620 is about 2052.7104033448. The cubic root of 4213620 is about 161.5170803726.

Adding to 4213620 its reverse (263124), we get a palindrome (4476744).

The spelling of 4213620 in words is "four million, two hundred thirteen thousand, six hundred twenty".