6914000 has 40 divisors (see below), whose sum is σ = 16722888. Its totient is φ = 2764800.

The previous prime is 6913997. The next prime is 6914003. The reversal of 6914000 is 4196.

It is an interprime number because it is at equal distance from previous prime (6913997) and next prime (6914003).

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 5053504 = 1364^2 + 2248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6914003) 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, 272 + ... + 3728.

Almost surely, 2^6914000 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 6914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361444).

6914000 is an abundant number, since it is smaller than the sum of its proper divisors (9808888).

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

6914000 is a wasteful number, since it uses less digits than its factorization.

6914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 6914000 is about 2629.4486114013. The cubic root of 6914000 is about 190.5064971618.

Adding to 6914000 its reverse (4196), we get a palindrome (6918196).

The spelling of 6914000 in words is "six million, nine hundred fourteen thousand".