6736896 has 132 divisors (see below), whose sum is σ = 21075912. Its totient is φ = 2064384.

The previous prime is 6736859. The next prime is 6736897. The reversal of 6736896 is 6986376.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6736897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156651 + ... + 156693.

It is an arithmetic number, because the mean of its divisors is an integer number (159666).

Almost surely, 2^6736896 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 6736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10537956).

6736896 is an abundant number, since it is smaller than the sum of its proper divisors (14339016).

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

6736896 is a wasteful number, since it uses less digits than its factorization.

6736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 6736896 is about 2595.5531202424. The cubic root of 6736896 is about 188.8657819229.

It can be divided in two parts, 673 and 6896, that added together give a square (7569 = 87²).

The spelling of 6736896 in words is "six million, seven hundred thirty-six thousand, eight hundred ninety-six".