6961872 has 40 divisors (see below), whose sum is σ = 18408544. Its totient is φ = 2265984.

The previous prime is 6961853. The next prime is 6961879. The reversal of 6961872 is 2781696.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6961872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961879) 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 7 ways as a sum of consecutive naturals, for example, 378 + ... + 3750.

Almost surely, 2^6961872 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 6961872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9204272).

6961872 is an abundant number, since it is smaller than the sum of its proper divisors (11446672).

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

6961872 is a wasteful number, since it uses less digits than its factorization.

6961872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3421 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 6961872 is about 2638.5359576856. The cubic root of 6961872 is about 190.9451703404.

The spelling of 6961872 in words is "six million, nine hundred sixty-one thousand, eight hundred seventy-two".