6816096 has 192 divisors, whose sum is σ = 24192000. Its totient is φ = 1862784.

The previous prime is 6816067. The next prime is 6816107. The reversal of 6816096 is 6906186.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6816096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296341 + ... + 296363.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 2^6816096 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 6816096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

6816096 is an abundant number, since it is smaller than the sum of its proper divisors (17375904).

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

6816096 is a wasteful number, since it uses less digits than its factorization.

6816096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 35 counting only the distinct ones).

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

The square root of 6816096 is about 2610.7654050106. The cubic root of 6816096 is about 189.6030122899.

The spelling of 6816096 in words is "six million, eight hundred sixteen thousand, ninety-six".