6816960 has 140 divisors (see below), whose sum is σ = 24341328. Its totient is φ = 1810944.

The previous prime is 6816937. The next prime is 6816967. The reversal of 6816960 is 696186.

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 (6816967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25789 + ... + 26051.

Almost surely, 2^6816960 is an apocalyptic number.

6816960 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 6816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12170664).

6816960 is an abundant number, since it is smaller than the sum of its proper divisors (17524368).

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

6816960 is a wasteful number, since it uses less digits than its factorization.

6816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6816960 is about 2610.9308684835. The cubic root of 6816960 is about 189.6110232335.

It can be divided in two parts, 6816 and 960, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6816960 in words is "six million, eight hundred sixteen thousand, nine hundred sixty".