6314000 has 160 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 1920000.

The previous prime is 6313997. The next prime is 6314039. The reversal of 6314000 is 4136.

6314000 = T₁₇₅ + T₁₇₆ + ... + T₃₅₀.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153980 + ... + 154020.

Almost surely, 2^6314000 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 6314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

6314000 is an abundant number, since it is smaller than the sum of its proper divisors (13184752).

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

6314000 is a wasteful number, since it uses less digits than its factorization.

6314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 6314000 is about 2512.7673987061. The cubic root of 6314000 is about 184.8281823301.

Adding to 6314000 its reverse (4136), we get a palindrome (6318136).

The spelling of 6314000 in words is "six million, three hundred fourteen thousand".