6924960 has 192 divisors, whose sum is σ = 27820800. Its totient is φ = 1575936.

The previous prime is 6924947. The next prime is 6924961. The reversal of 6924960 is 694296.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6924961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30126 + ... + 30354.

It is an arithmetic number, because the mean of its divisors is an integer number (144900).

Almost surely, 2^6924960 is an apocalyptic number.

6924960 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 6924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910400).

6924960 is an abundant number, since it is smaller than the sum of its proper divisors (20895840).

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

6924960 is a wasteful number, since it uses less digits than its factorization.

6924960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6924960 is about 2631.5318732632. The cubic root of 6924960 is about 190.6071069831.

The spelling of 6924960 in words is "six million, nine hundred twenty-four thousand, nine hundred sixty".