6897792 has 128 divisors (see below), whose sum is σ = 21150720. Its totient is φ = 1971200.

The previous prime is 6897743. The next prime is 6897797. The reversal of 6897792 is 2977986.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (6897797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97117 + ... + 97187.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 2^6897792 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 6897792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575360).

6897792 is an abundant number, since it is smaller than the sum of its proper divisors (14252928).

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

6897792 is a wasteful number, since it uses less digits than its factorization.

6897792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 6897792 is about 2626.3647880673. The cubic root of 6897792 is about 190.3575170617.

It can be divided in two parts, 6 and 897792, that added together give a palindrome (897798).

The spelling of 6897792 in words is "six million, eight hundred ninety-seven thousand, seven hundred ninety-two".