6896736 has 144 divisors (see below), whose sum is σ = 24530688. Its totient is φ = 1785600.

The previous prime is 6896723. The next prime is 6896737. The reversal of 6896736 is 6376986.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6896691 and 6896700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6896737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22021 + ... + 22331.

It is an arithmetic number, because the mean of its divisors is an integer number (170352).

Almost surely, 2^6896736 is an apocalyptic number.

6896736 is a gapful number since it is divisible by the number (66) 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 6896736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265344).

6896736 is an abundant number, since it is smaller than the sum of its proper divisors (17633952).

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

6896736 is a wasteful number, since it uses less digits than its factorization.

6896736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

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

The square root of 6896736 is about 2626.1637420389. The cubic root of 6896736 is about 190.3478024653.

The spelling of 6896736 in words is "six million, eight hundred ninety-six thousand, seven hundred thirty-six".