6948960 has 96 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 1789440.

The previous prime is 6948947. The next prime is 6948973. The reversal of 6948960 is 698496.

It is an interprime number because it is at equal distance from previous prime (6948947) and next prime (6948973).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 14647 + ... + 15113.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 2^6948960 is an apocalyptic number.

6948960 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 6948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856).

6948960 is an abundant number, since it is smaller than the sum of its proper divisors (15694752).

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

6948960 is a wasteful number, since it uses less digits than its factorization.

6948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 6948960 is about 2636.0880106704. The cubic root of 6948960 is about 190.8270502986.

The spelling of 6948960 in words is "six million, nine hundred forty-eight thousand, nine hundred sixty".