6892896 has 48 divisors (see below), whose sum is σ = 19051200. Its totient is φ = 2176128.

The previous prime is 6892891. The next prime is 6892913. The reversal of 6892896 is 6982986.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6892891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 3713.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^6892896 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 6892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525600).

6892896 is an abundant number, since it is smaller than the sum of its proper divisors (12158304).

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

6892896 is a wasteful number, since it uses less digits than its factorization.

6892896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3803 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 6892896 is about 2625.4325357929. The cubic root of 6892896 is about 190.3124682985.

The spelling of 6892896 in words is "six million, eight hundred ninety-two thousand, eight hundred ninety-six".