6448624 has 80 divisors (see below), whose sum is σ = 15887872. Its totient is φ = 2467584.

The previous prime is 6448621. The next prime is 6448633. The reversal of 6448624 is 4268446.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6448624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62557 + ... + 62659.

Almost surely, 2^6448624 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 6448624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943936).

6448624 is an abundant number, since it is smaller than the sum of its proper divisors (9439248).

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

6448624 is a wasteful number, since it uses less digits than its factorization.

6448624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 6448624 is about 2539.4141056551. The cubic root of 6448624 is about 186.1325605304.

The spelling of 6448624 in words is "six million, four hundred forty-eight thousand, six hundred twenty-four".