6912 has 36 divisors (see below), whose sum is σ = 20440. Its totient is φ = 2304.

The previous prime is 6911. The next prime is 6917. The reversal of 6912 is 2196.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ 3! ⋅ 2!.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 6 and base 12.

It is not an unprimeable number, because it can be changed into a prime (6911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2303 + 2304 + 2305.

2^{6912} 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 6912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220).

6912 is an abundant number, since it is smaller than the sum of its proper divisors (13528).

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

6912 is an equidigital number, since it uses as much as digits as its factorization.

6912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 5 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 6912 is about 83.1384387633. The cubic root of 6912 is about 19.0488126236.

Multiplying 6912 by its product of digits (108), we get a square (746496 = 864^{2}).

6912 divided by its product of digits (108) gives a 6-th power (64 = 2^{6}).

It can be divided in two parts, 69 and 12, that multiplied together give a palindrome (828).

The spelling of 6912 in words is "six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912

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