6958848 has 144 divisors (see below), whose sum is σ = 21633696. Its totient is φ = 1966080.

The previous prime is 6958841. The next prime is 6958891. The reversal of 6958848 is 8488596.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (552960) is a multiple of the sum of its prime factors (90).

It is a junction number, because it is equal to n+sod(n) for n = 6958797 and 6958806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6958841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169708 + ... + 169748.

It is an arithmetic number, because the mean of its divisors is an integer number (150234).

Almost surely, 2^6958848 is an apocalyptic number.

6958848 is a gapful number since it is divisible by the number (68) 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 6958848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10816848).

6958848 is an abundant number, since it is smaller than the sum of its proper divisors (14674848).

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

6958848 is a wasteful number, since it uses less digits than its factorization.

6958848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 6958848 is about 2637.9628503828. The cubic root of 6958848 is about 190.9175196444.

The spelling of 6958848 in words is "six million, nine hundred fifty-eight thousand, eight hundred forty-eight".