6897312 has 72 divisors (see below), whose sum is σ = 20363616. Its totient is φ = 2296512.

The previous prime is 6897299. The next prime is 6897347. The reversal of 6897312 is 2137986.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 6² + 8⁷ + 9⁴ + 7⁴ + 3¹⁴ + 1 + 2¹³ .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7333 + ... + 8219.

It is an arithmetic number, because the mean of its divisors is an integer number (282828).

Almost surely, 2^6897312 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 6897312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181808).

6897312 is an abundant number, since it is smaller than the sum of its proper divisors (13466304).

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

6897312 is an equidigital number, since it uses as much as digits as its factorization.

6897312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 892 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 6897312 is about 2626.2734054169. The cubic root of 6897312 is about 190.3531014590.

It can be divided in two parts, 689 and 7312, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 6897312 in words is "six million, eight hundred ninety-seven thousand, three hundred twelve".