6986304 has 112 divisors (see below), whose sum is σ = 22189440. Its totient is φ = 2142720.

The previous prime is 6986299. The next prime is 6986311. The reversal of 6986304 is 4036896.

6986304 is nontrivially palindromic in base 15.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22309 + ... + 22619.

It is an arithmetic number, because the mean of its divisors is an integer number (198120).

Almost surely, 2^6986304 is an apocalyptic number.

6986304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11094720).

6986304 is an abundant number, since it is smaller than the sum of its proper divisors (15203136).

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

6986304 is a wasteful number, since it uses less digits than its factorization.

6986304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6986304 is about 2643.1617430645. The cubic root of 6986304 is about 191.1682772718.

It can be divided in two parts, 6 and 986304, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 6986304 in words is "six million, nine hundred eighty-six thousand, three hundred four".