6881040 has 120 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 1734912.

The previous prime is 6881027. The next prime is 6881041. The reversal of 6881040 is 401886.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6881040² = 94697422963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6880995 and 6881013.

It is not an unprimeable number, because it can be changed into a prime (6881041) 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, 13429 + ... + 13931.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^6881040 is an apocalyptic number.

6881040 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 6881040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

6881040 is an abundant number, since it is smaller than the sum of its proper divisors (17492400).

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

6881040 is a wasteful number, since it uses less digits than its factorization.

6881040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6881040 is about 2623.1736503709. The cubic root of 6881040 is about 190.2032911822.

It can be divided in two parts, 688 and 1040, that added together give a cube (1728 = 12³).

The spelling of 6881040 in words is "six million, eight hundred eighty-one thousand, forty".