420616 has 48 divisors (see below), whose sum is σ = 974700. Its totient is φ = 169344.

The previous prime is 420613. The next prime is 420671. The reversal of 420616 is 616024.

420616 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 2 ways, for example, as 396900 + 23716 = 630^2 + 154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420593 and 420602.

It is not an unprimeable number, because it can be changed into a prime (420613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11350 + ... + 11386.

2⁴²⁰⁶¹⁶ 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 420616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487350).

420616 is an abundant number, since it is smaller than the sum of its proper divisors (554084).

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

420616 is a wasteful number, since it uses less digits than its factorization.

420616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 420616 is about 648.5491500264. The cubic root of 420616 is about 74.9253182524.

The spelling of 420616 in words is "four hundred twenty thousand, six hundred sixteen".