13988400 has 60 divisors (see below), whose sum is σ = 44813352. Its totient is φ = 3729920.

The previous prime is 13988341. The next prime is 13988413. The reversal of 13988400 is 488931.

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

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, 4629 + ... + 7028.

Almost surely, 2^13988400 is an apocalyptic number.

13988400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13988400 is an abundant number, since it is smaller than the sum of its proper divisors (30824952).

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

13988400 is a wasteful number, since it uses less digits than its factorization.

13988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678 (or 11667 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13988400 is about 3740.1069503425. The cubic root of 13988400 is about 240.9476421902.

The spelling of 13988400 in words is "thirteen million, nine hundred eighty-eight thousand, four hundred".