6958080 has 132 divisors (see below), whose sum is σ = 24269232. Its totient is φ = 1843200.

The previous prime is 6958073. The next prime is 6958099. The reversal of 6958080 is 808596.

6958080 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46005 + ... + 46155.

Almost surely, 2^6958080 is an apocalyptic number.

6958080 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 6958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134616).

6958080 is an abundant number, since it is smaller than the sum of its proper divisors (17311152).

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

6958080 is a wasteful number, since it uses less digits than its factorization.

6958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6958080 is about 2637.8172794945. The cubic root of 6958080 is about 190.9104959699.

The spelling of 6958080 in words is "six million, nine hundred fifty-eight thousand, eighty".