6881440 has 48 divisors (see below), whose sum is σ = 16669800. Its totient is φ = 2682880.

The previous prime is 6881437. The next prime is 6881443. The reversal of 6881440 is 441886.

It is an interprime number because it is at equal distance from previous prime (6881437) and next prime (6881443).

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 1628176 = 2292^2 + 1276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6881443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6036 + ... + 7084.

Almost surely, 2^6881440 is an apocalyptic number.

6881440 is the 1312-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334900).

6881440 is an abundant number, since it is smaller than the sum of its proper divisors (9788360).

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

6881440 is a wasteful number, since it uses less digits than its factorization.

6881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 6881440 is about 2623.2498927857. The cubic root of 6881440 is about 190.2069766640.

The spelling of 6881440 in words is "six million, eight hundred eighty-one thousand, four hundred forty".