6004008 has 24 divisors (see below), whose sum is σ = 16261050. Its totient is φ = 2001312.

The previous prime is 6004007. The next prime is 6004013. The reversal of 6004008 is 8004006.

It can be written as a sum of positive squares in only one way, i.e., 5116644 + 887364 = 2262^2 + 942^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×6004008² = 72096224128128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6004001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41623 + ... + 41766.

Almost surely, 2^6004008 is an apocalyptic number.

It is an amenable number.

6004008 is an abundant number, since it is smaller than the sum of its proper divisors (10257042).

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

6004008 is a wasteful number, since it uses less digits than its factorization.

6004008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83401 (or 83394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6004008 is about 2450.3077357752. The cubic root of 6004008 is about 181.7525114957.

The spelling of 6004008 in words is "six million, four thousand, eight".