6468624 has 60 divisors (see below), whose sum is σ = 18739500. Its totient is φ = 2080512.

The previous prime is 6468617. The next prime is 6468629. The reversal of 6468624 is 4268646.

It is a happy number.

6468624 is a `hidden beast` number, since 646 + 8 + 6 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 3686400 = 1668^2 + 1920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 6⁷ + 4² + 6⁷ + 8⁵ + 6⁸ + 2¹¹ + 4¹¹ .

It is not an unprimeable number, because it can be changed into a prime (6468629) 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, 3402 + ... + 4950.

It is an arithmetic number, because the mean of its divisors is an integer number (312325).

Almost surely, 2^6468624 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 6468624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369750).

6468624 is an abundant number, since it is smaller than the sum of its proper divisors (12270876).

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

6468624 is a wasteful number, since it uses less digits than its factorization.

6468624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1583 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6468624 is about 2543.3489733027. The cubic root of 6468624 is about 186.3247880664.

The spelling of 6468624 in words is "six million, four hundred sixty-eight thousand, six hundred twenty-four".