6714000 has 120 divisors (see below), whose sum is σ = 23512632. Its totient is φ = 1785600.

The previous prime is 6713989. The next prime is 6714007. The reversal of 6714000 is 4176.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 6471936 = 492^2 + 2544^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6714007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17814 + ... + 18186.

Almost surely, 2^6714000 is an apocalyptic number.

6714000 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 6714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11756316).

6714000 is an abundant number, since it is smaller than the sum of its proper divisors (16798632).

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

6714000 is a wasteful number, since it uses less digits than its factorization.

6714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 6714000 is about 2591.1387458027. The cubic root of 6714000 is about 188.6515794656.

Adding to 6714000 its reverse (4176), we get a palindrome (6718176).

The spelling of 6714000 in words is "six million, seven hundred fourteen thousand".