6948864 has 144 divisors (see below), whose sum is σ = 22358700. Its totient is φ = 2064384.

The previous prime is 6948847. The next prime is 6948871. The reversal of 6948864 is 4688496.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 230400 = 2592^2 + 480^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239602 + ... + 239630.

Almost surely, 2^6948864 is an apocalyptic number.

6948864 is a gapful number since it is divisible by the number (64) 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 6948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11179350).

6948864 is an abundant number, since it is smaller than the sum of its proper divisors (15409836).

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

6948864 is a wasteful number, since it uses less digits than its factorization.

6948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6948864 is about 2636.0698018072. The cubic root of 6948864 is about 190.8261715349.

The spelling of 6948864 in words is "six million, nine hundred forty-eight thousand, eight hundred sixty-four".