6961640 has 96 divisors (see below), whose sum is σ = 19111680. Its totient is φ = 2234496.

The previous prime is 6961613. The next prime is 6961649. The reversal of 6961640 is 461696.

It is a junction number, because it is equal to n+sod(n) for n = 6961597 and 6961606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148097 + ... + 148143.

It is an arithmetic number, because the mean of its divisors is an integer number (199080).

Almost surely, 2^6961640 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 6961640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555840).

6961640 is an abundant number, since it is smaller than the sum of its proper divisors (12150040).

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

6961640 is a wasteful number, since it uses less digits than its factorization.

6961640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 6961640 is about 2638.4919935448. The cubic root of 6961640 is about 190.9430492743.

The spelling of 6961640 in words is "six million, nine hundred sixty-one thousand, six hundred forty".