14008000 has 112 divisors (see below), whose sum is σ = 37088064. Its totient is φ = 5222400.

The previous prime is 14007991. The next prime is 14008009. The reversal of 14008000 is 80041.

It is an interprime number because it is at equal distance from previous prime (14007991) and next prime (14008009).

It is not an unprimeable number, because it can be changed into a prime (14008009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135949 + ... + 136051.

Almost surely, 2^14008000 is an apocalyptic number.

14008000 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 14008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18544032).

14008000 is an abundant number, since it is smaller than the sum of its proper divisors (23080064).

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

14008000 is a wasteful number, since it uses less digits than its factorization.

14008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 14008000 is about 3742.7262790645. The cubic root of 14008000 is about 241.0601251477.

Adding to 14008000 its reverse (80041), we get a palindrome (14088041).

The spelling of 14008000 in words is "fourteen million, eight thousand".