4506624 has 88 divisors (see below), whose sum is σ = 13428320. Its totient is φ = 1492992.

The previous prime is 4506617. The next prime is 4506647. The reversal of 4506624 is 4266054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27567 + ... + 27729.

Almost surely, 2^4506624 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 4506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714160).

4506624 is an abundant number, since it is smaller than the sum of its proper divisors (8921696).

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

4506624 is a wasteful number, since it uses less digits than its factorization.

4506624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4506624 is about 2122.8810611996. The cubic root of 4506624 is about 165.1773300115.

The spelling of 4506624 in words is "four million, five hundred six thousand, six hundred twenty-four".