6984096 has 96 divisors (see below), whose sum is σ = 22095360. Its totient is φ = 1886976.

The previous prime is 6984079. The next prime is 6984101. The reversal of 6984096 is 6904896.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 12495 + ... + 13041.

It is an arithmetic number, because the mean of its divisors is an integer number (230160).

Almost surely, 2^6984096 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 6984096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047680).

6984096 is an abundant number, since it is smaller than the sum of its proper divisors (15111264).

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

6984096 is a wasteful number, since it uses less digits than its factorization.

6984096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 6984096 is about 2642.7440284674. The cubic root of 6984096 is about 191.1481357667.

The spelling of 6984096 in words is "six million, nine hundred eighty-four thousand, ninety-six".