6961968 has 60 divisors (see below), whose sum is σ = 20988240. Its totient is φ = 2141568.

The previous prime is 6961967. The next prime is 6961979. The reversal of 6961968 is 8691696.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6961963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 3731.

It is an arithmetic number, because the mean of its divisors is an integer number (349804).

Almost surely, 2^6961968 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 6961968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494120).

6961968 is an abundant number, since it is smaller than the sum of its proper divisors (14026272).

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

6961968 is a wasteful number, since it uses less digits than its factorization.

6961968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3737 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 6961968 is about 2638.5541495296. The cubic root of 6961968 is about 190.9460480091.

The spelling of 6961968 in words is "six million, nine hundred sixty-one thousand, nine hundred sixty-eight".