4218624 has 54 divisors (see below), whose sum is σ = 12169976. Its totient is φ = 1405440.

The previous prime is 4218623. The next prime is 4218631. The reversal of 4218624 is 4268124.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1389 + ... + 3219.

Almost surely, 2^4218624 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 4218624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084988).

4218624 is an abundant number, since it is smaller than the sum of its proper divisors (7951352).

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

4218624 is a wasteful number, since it uses less digits than its factorization.

4218624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1836 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4218624 is about 2053.9289179521. The cubic root of 4218624 is about 161.5809930918.

It can be divided in two parts, 421 and 8624, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 4218624 in words is "four million, two hundred eighteen thousand, six hundred twenty-four".