6835896 has 72 divisors (see below), whose sum is σ = 19613880. Its totient is φ = 2150496.

The previous prime is 6835891. The next prime is 6835901. The reversal of 6835896 is 6985386.

6835896 is a `hidden beast` number, since 68 + 3 + 589 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6835891) and next prime (6835901).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6835891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25861 + ... + 26123.

It is an arithmetic number, because the mean of its divisors is an integer number (272415).

Almost surely, 2^6835896 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 6835896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9806940).

6835896 is an abundant number, since it is smaller than the sum of its proper divisors (12777984).

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

6835896 is a wasteful number, since it uses less digits than its factorization.

6835896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 287 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 6835896 is about 2614.5546465890. The cubic root of 6835896 is about 189.7864266852.

The spelling of 6835896 in words is "six million, eight hundred thirty-five thousand, eight hundred ninety-six".