4194624 has 56 divisors (see below), whose sum is σ = 12687808. Its totient is φ = 1198080.

The previous prime is 4194601. The next prime is 4194637. The reversal of 4194624 is 4264914.

It is a tau number, because it is divible by the number of its divisors (56).

It is a d-powerful number, because it can be written as 4² + 1 + 9 + 4⁴ + 6 + 2⁵ + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 4194591 and 4194600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217 + ... + 2904.

It is an arithmetic number, because the mean of its divisors is an integer number (226568).

Almost surely, 2^4194624 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 4194624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343904).

4194624 is an abundant number, since it is smaller than the sum of its proper divisors (8493184).

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

4194624 is a wasteful number, since it uses less digits than its factorization.

4194624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3133 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 4194624 is about 2048.0781235099. The cubic root of 4194624 is about 161.2739955877.

The spelling of 4194624 in words is "four million, one hundred ninety-four thousand, six hundred twenty-four".