16714000 has 80 divisors (see below), whose sum is σ = 41376816. Its totient is φ = 6528000.

The previous prime is 16713989. The next prime is 16714003. The reversal of 16714000 is 41761.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9659664 + 7054336 = 3108^2 + 2656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (16714003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 121932 + ... + 122068.

Almost surely, 2^16714000 is an apocalyptic number.

16714000 is a gapful number since it is divisible by the number (10) 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 16714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20688408).

16714000 is an abundant number, since it is smaller than the sum of its proper divisors (24662816).

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

16714000 is a wasteful number, since it uses less digits than its factorization.

16714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 16714000 is about 4088.2759202383. The cubic root of 16714000 is about 255.6780621072.

Adding to 16714000 its reverse (41761), we get a palindrome (16755761).

It can be divided in two parts, 1671 and 4000, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 16714000 in words is "sixteen million, seven hundred fourteen thousand".