6961856 has 84 divisors (see below), whose sum is σ = 16215360. Its totient is φ = 2956800.

The previous prime is 6961853. The next prime is 6961879. The reversal of 6961856 is 6581696.

It is a super-3 number, since 3×6961856³ (a number of 22 digits) contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (6961853) 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, 224561 + ... + 224591.

It is an arithmetic number, because the mean of its divisors is an integer number (193040).

Almost surely, 2^6961856 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 6961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107680).

6961856 is an abundant number, since it is smaller than the sum of its proper divisors (9253504).

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

6961856 is a wasteful number, since it uses less digits than its factorization.

6961856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 6961856 is about 2638.5329256994. The cubic root of 6961856 is about 190.9450240615.

It can be divided in two parts, 696 and 1856, that added together give a palindrome (2552).

The spelling of 6961856 in words is "six million, nine hundred sixty-one thousand, eight hundred fifty-six".