6960864 has 48 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 2244480.

The previous prime is 6960853. The next prime is 6960869. The reversal of 6960864 is 4680696.

6960864 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6960869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1807 + ... + 4145.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^6960864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6960864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

6960864 is an abundant number, since it is smaller than the sum of its proper divisors (11908896).

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

6960864 is a wasteful number, since it uses less digits than its factorization.

6960864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6960864 is about 2638.3449357504. The cubic root of 6960864 is about 190.9359543315.

The spelling of 6960864 in words is "six million, nine hundred sixty thousand, eight hundred sixty-four".