13924000 has 72 divisors (see below), whose sum is σ = 34800948. Its totient is φ = 5475200.

The previous prime is 13923989. The next prime is 13924013. The reversal of 13924000 is 42931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9412624 + 4511376 = 3068^2 + 2124^2 .

It is an unprimeable number.

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, 235971 + ... + 236029.

Almost surely, 2^13924000 is an apocalyptic number.

13924000 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 13924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400474).

13924000 is an abundant number, since it is smaller than the sum of its proper divisors (20876948).

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

13924000 is an frugal number, since it uses more digits than its factorization.

13924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13924000 is about 3731.4876389987. The cubic root of 13924000 is about 240.5773138764.

Adding to 13924000 its reverse (42931), we get a palindrome (13966931).

The spelling of 13924000 in words is "thirteen million, nine hundred twenty-four thousand".