4206144 has 56 divisors (see below), whose sum is σ = 11724640. Its totient is φ = 1327104.

The previous prime is 4206127. The next prime is 4206151. The reversal of 4206144 is 4416024.

It is a self number, because there is not a number n which added to its sum of digits gives 4206144.

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, 3072 + ... + 4224.

Almost surely, 2^4206144 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 4206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862320).

4206144 is an abundant number, since it is smaller than the sum of its proper divisors (7518496).

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

4206144 is a wasteful number, since it uses less digits than its factorization.

4206144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4206144 is about 2050.8885879053. Note that the first 3 decimals coincide. The cubic root of 4206144 is about 161.4215001247.

The spelling of 4206144 in words is "four million, two hundred six thousand, one hundred forty-four".