6948000 has 144 divisors (see below), whose sum is σ = 24786216. Its totient is φ = 1843200.

The previous prime is 6947959. The next prime is 6948041. The reversal of 6948000 is 8496.

It is an interprime number because it is at equal distance from previous prime (6947959) and next prime (6948041).

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 5702544 = 1116^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

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 23 ways as a sum of consecutive naturals, for example, 35904 + ... + 36096.

Almost surely, 2^6948000 is an apocalyptic number.

6948000 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 6948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393108).

6948000 is an abundant number, since it is smaller than the sum of its proper divisors (17838216).

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

6948000 is a wasteful number, since it uses less digits than its factorization.

6948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6948000 is about 2635.9059163787. The cubic root of 6948000 is about 190.8182622974.

The spelling of 6948000 in words is "six million, nine hundred forty-eight thousand".