6894240 has 96 divisors (see below), whose sum is σ = 22208256. Its totient is φ = 1797120.

The previous prime is 6894211. The next prime is 6894241. The reversal of 6894240 is 424986.

6894240 = 10² + 11² + ... + 274².

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6894241) 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, 25305 + ... + 25575.

It is an arithmetic number, because the mean of its divisors is an integer number (231336).

Almost surely, 2^6894240 is an apocalyptic number.

6894240 is a gapful number since it is divisible by the number (60) 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 6894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11104128).

6894240 is an abundant number, since it is smaller than the sum of its proper divisors (15314016).

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

6894240 is a wasteful number, since it uses less digits than its factorization.

6894240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6894240 is about 2625.6884811417. The cubic root of 6894240 is about 190.3248367492.

The spelling of 6894240 in words is "six million, eight hundred ninety-four thousand, two hundred forty".