6928960 has 56 divisors (see below), whose sum is σ = 16824960. Its totient is φ = 2717184.

The previous prime is 6928951. The next prime is 6928969. The reversal of 6928960 is 698296.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6928951) and next prime (6928969).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6928969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18697 + ... + 19063.

Almost surely, 2^6928960 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 6928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8412480).

6928960 is an abundant number, since it is smaller than the sum of its proper divisors (9896000).

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

6928960 is a wasteful number, since it uses less digits than its factorization.

6928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 6928960 is about 2632.2917771402. The cubic root of 6928960 is about 190.6437994538.

The spelling of 6928960 in words is "six million, nine hundred twenty-eight thousand, nine hundred sixty".