4006224 has 60 divisors (see below), whose sum is σ = 11490336. Its totient is φ = 1302336.

The previous prime is 4006201. The next prime is 4006229. The reversal of 4006224 is 4226004.

4006224 is a `hidden beast` number, since 40 + 0 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4006197 and 4006206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006229) 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, 5869 + ... + 6515.

Almost surely, 2^4006224 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 4006224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745168).

4006224 is an abundant number, since it is smaller than the sum of its proper divisors (7484112).

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

4006224 is a wasteful number, since it uses less digits than its factorization.

4006224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4006224 is about 2001.5553951865. Note that the first 3 decimals coincide. The cubic root of 4006224 is about 158.8223957314.

The spelling of 4006224 in words is "four million, six thousand, two hundred twenty-four".