406616166 has 128 divisors (see below), whose sum is σ = 1061061120. Its totient is φ = 114048000.

The previous prime is 406616117. The next prime is 406616173. The reversal of 406616166 is 661616604.

It is a self number, because there is not a number n which added to its sum of digits gives 406616166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676266 + ... + 676866.

It is an arithmetic number, because the mean of its divisors is an integer number (8289540).

Almost surely, 2^406616166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406616166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530530560).

406616166 is an abundant number, since it is smaller than the sum of its proper divisors (654444954).

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

406616166 is a wasteful number, since it uses less digits than its factorization.

406616166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 406616166 is about 20164.7257853907. The cubic root of 406616166 is about 740.8464662480.

The spelling of 406616166 in words is "four hundred six million, six hundred sixteen thousand, one hundred sixty-six".