6006624 has 48 divisors (see below), whose sum is σ = 16983792. Its totient is φ = 1847808.

The previous prime is 6006619. The next prime is 6006631. The reversal of 6006624 is 4266006.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 6006594 and 6006603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159 + ... + 3654.

It is an arithmetic number, because the mean of its divisors is an integer number (353829).

Almost surely, 2^6006624 is an apocalyptic number.

It is an amenable number.

6006624 is an abundant number, since it is smaller than the sum of its proper divisors (10977168).

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

6006624 is a wasteful number, since it uses less digits than its factorization.

6006624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6006624 is about 2450.8414881424. The cubic root of 6006624 is about 181.7789047279.

The spelling of 6006624 in words is "six million, six thousand, six hundred twenty-four".