6948180 has 60 divisors (see below), whose sum is σ = 21801780. Its totient is φ = 1852416.

The previous prime is 6948173. The next prime is 6948191. The reversal of 6948180 is 818496.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 2125764 = 2196^2 + 1458^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 525 + ... + 3764.

It is an arithmetic number, because the mean of its divisors is an integer number (363363).

Almost surely, 2^6948180 is an apocalyptic number.

6948180 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 6948180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900890).

6948180 is an abundant number, since it is smaller than the sum of its proper divisors (14853600).

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

6948180 is a wasteful number, since it uses less digits than its factorization.

6948180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6948180 is about 2635.9400600165. The cubic root of 6948180 is about 190.8199101093.

The spelling of 6948180 in words is "six million, nine hundred forty-eight thousand, one hundred eighty".