13938688 has 52 divisors (see below), whose sum is σ = 28897848. Its totient is φ = 6717440.

The previous prime is 13938679. The next prime is 13938697. The reversal of 13938688 is 88683931.

It is an interprime number because it is at equal distance from previous prime (13938679) and next prime (13938697).

It is a super-2 number, since 2×13938688² = 388574046322688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167895 + ... + 167977.

Almost surely, 2^13938688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448924).

13938688 is an abundant number, since it is smaller than the sum of its proper divisors (14959160).

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

13938688 is an frugal number, since it uses more digits than its factorization.

13938688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 13938688 is about 3733.4552361050. The cubic root of 13938688 is about 240.6618766893.

The spelling of 13938688 in words is "thirteen million, nine hundred thirty-eight thousand, six hundred eighty-eight".