6006996 has 18 divisors (see below), whose sum is σ = 15184442. Its totient is φ = 2002320.

The previous prime is 6006991. The next prime is 6007003. The reversal of 6006996 is 6996006.

It can be written as a sum of positive squares in only one way, i.e., 5934096 + 72900 = 2436^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 166861 = 6006996 / (6 + 0 + 0 + 6 + 9 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 6006996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006991) 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, 83395 + ... + 83466.

Almost surely, 2^6006996 is an apocalyptic number.

It is an amenable number.

6006996 is an abundant number, since it is smaller than the sum of its proper divisors (9177446).

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

6006996 is a wasteful number, since it uses less digits than its factorization.

6006996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166871 (or 166866 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 6006996 is about 2450.9173792684. The cubic root of 6006996 is about 181.7826572716.

The spelling of 6006996 in words is "six million, six thousand, nine hundred ninety-six".