14038800 has 60 divisors (see below), whose sum is σ = 44974800. Its totient is φ = 3743360.

The previous prime is 14038789. The next prime is 14038807. The reversal of 14038800 is 883041.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14038807) 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 11 ways as a sum of consecutive naturals, for example, 4650 + ... + 7049.

It is an arithmetic number, because the mean of its divisors is an integer number (749580).

Almost surely, 2^14038800 is an apocalyptic number.

14038800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14038800 is an abundant number, since it is smaller than the sum of its proper divisors (30936000).

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

14038800 is a wasteful number, since it uses less digits than its factorization.

14038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11720 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14038800 is about 3746.8386674635. The cubic root of 14038800 is about 241.2366722840.

The spelling of 14038800 in words is "fourteen million, thirty-eight thousand, eight hundred".