7006608 has 120 divisors (see below), whose sum is σ = 23465760. Its totient is φ = 1995840.

The previous prime is 7006607. The next prime is 7006621. The reversal of 7006608 is 8066007.

It is a Cunningham number, because it is equal to 2647²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7006607) 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 23 ways as a sum of consecutive naturals, for example, 21003 + ... + 21333.

It is an arithmetic number, because the mean of its divisors is an integer number (195548).

Almost surely, 2^7006608 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 7006608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11732880).

7006608 is an abundant number, since it is smaller than the sum of its proper divisors (16459152).

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

7006608 is a wasteful number, since it uses less digits than its factorization.

7006608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7006608 is about 2646.9998111069. Note that the first 3 decimals coincide. The cubic root of 7006608 is about 191.3532929141.

The spelling of 7006608 in words is "seven million, six thousand, six hundred eight".