6991968 has 48 divisors (see below), whose sum is σ = 18503856. Its totient is φ = 2311680.

The previous prime is 6991967. The next prime is 6991969. The reversal of 6991968 is 8691996.

It is an interprime number because it is at equal distance from previous prime (6991967) and next prime (6991969).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6991967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16398 + ... + 16818.

It is an arithmetic number, because the mean of its divisors is an integer number (385497).

Almost surely, 2^6991968 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 6991968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9251928).

6991968 is an abundant number, since it is smaller than the sum of its proper divisors (11511888).

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

6991968 is a wasteful number, since it uses less digits than its factorization.

6991968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 6991968 is about 2644.2329700690. The cubic root of 6991968 is about 191.2199252123.

The spelling of 6991968 in words is "six million, nine hundred ninety-one thousand, nine hundred sixty-eight".