6959040 has 112 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 1684480.

The previous prime is 6959033. The next prime is 6959083. The reversal of 6959040 is 409596.

It is a happy number.

6959040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 6958992 and 6959010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10231 + ... + 10889.

Almost surely, 2^6959040 is an apocalyptic number.

6959040 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 6959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).

6959040 is an abundant number, since it is smaller than the sum of its proper divisors (17181120).

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

6959040 is a wasteful number, since it uses less digits than its factorization.

6959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 6959040 is about 2637.9992418498. Note that the first 3 decimals coincide. The cubic root of 6959040 is about 190.9192754822.

The spelling of 6959040 in words is "six million, nine hundred fifty-nine thousand, forty".