6986016 has 72 divisors (see below), whose sum is σ = 20127744. Its totient is φ = 2298240.

The previous prime is 6986011. The next prime is 6986047. The reversal of 6986016 is 6106896.

It is a tau number, because it is divible by the number of its divisors (72).

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 (6986011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36481 + ... + 36671.

It is an arithmetic number, because the mean of its divisors is an integer number (279552).

Almost surely, 2^6986016 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 6986016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063872).

6986016 is an abundant number, since it is smaller than the sum of its proper divisors (13141728).

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

6986016 is a wasteful number, since it uses less digits than its factorization.

6986016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6986016 is about 2643.1072622956. The cubic root of 6986016 is about 191.1656503596.

The spelling of 6986016 in words is "six million, nine hundred eighty-six thousand, sixteen".