6985008 has 160 divisors (see below), whose sum is σ = 22617600. Its totient is φ = 2052864.

The previous prime is 6985001. The next prime is 6985009. The reversal of 6985008 is 8005896.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6985001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188766 + ... + 188802.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 2^6985008 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 6985008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308800).

6985008 is an abundant number, since it is smaller than the sum of its proper divisors (15632592).

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

6985008 is a wasteful number, since it uses less digits than its factorization.

6985008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6985008 is about 2642.9165707604. The cubic root of 6985008 is about 191.1564555986.

The spelling of 6985008 in words is "six million, nine hundred eighty-five thousand, eight".