4166856 has 64 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 1368000.

The previous prime is 4166843. The next prime is 4166863. The reversal of 4166856 is 6586614.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4166856.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21721 + ... + 21911.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 2^4166856 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 4166856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

4166856 is an abundant number, since it is smaller than the sum of its proper divisors (7583544).

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

4166856 is a wasteful number, since it uses less digits than its factorization.

4166856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4166856 is about 2041.2878287983. The cubic root of 4166856 is about 160.9173347217.

The spelling of 4166856 in words is "four million, one hundred sixty-six thousand, eight hundred fifty-six".