406616 has 32 divisors (see below), whose sum is σ = 894240. Its totient is φ = 169728.

The previous prime is 406591. The next prime is 406631. The reversal of 406616 is 616604.

It is a junction number, because it is equal to n+sod(n) for n = 406591 and 406600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2900 + ... + 3036.

It is an arithmetic number, because the mean of its divisors is an integer number (27945).

2⁴⁰⁶⁶¹⁶ 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 406616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447120).

406616 is an abundant number, since it is smaller than the sum of its proper divisors (487624).

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

406616 is a wasteful number, since it uses less digits than its factorization.

406616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 406616 is about 637.6644885831. The cubic root of 406616 is about 74.0846365432.

It can be divided in two parts, 4066 and 16, that multiplied together give a palindrome (65056).

The spelling of 406616 in words is "four hundred six thousand, six hundred sixteen".