6891960 has 64 divisors (see below), whose sum is σ = 20966400. Its totient is φ = 1812096.

The previous prime is 6891949. The next prime is 6891971. The reversal of 6891960 is 691986.

It is an interprime number because it is at equal distance from previous prime (6891949) and next prime (6891971).

It is a super-2 number, since 2×6891960² = 94998225283200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9117 + ... + 9843.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 2^6891960 is an apocalyptic number.

6891960 is a gapful number since it is divisible by the number (60) 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 6891960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10483200).

6891960 is an abundant number, since it is smaller than the sum of its proper divisors (14074440).

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

6891960 is a wasteful number, since it uses less digits than its factorization.

6891960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 6891960 is about 2625.2542733991. The cubic root of 6891960 is about 190.3038536062.

The spelling of 6891960 in words is "six million, eight hundred ninety-one thousand, nine hundred sixty".