13938920 has 64 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 5246208.

The previous prime is 13938919. The next prime is 13938949. The reversal of 13938920 is 2983931.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 100211 + ... + 100349.

It is an arithmetic number, because the mean of its divisors is an integer number (519750).

Almost surely, 2^13938920 is an apocalyptic number.

13938920 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 13938920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

13938920 is an abundant number, since it is smaller than the sum of its proper divisors (19325080).

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

13938920 is a wasteful number, since it uses less digits than its factorization.

13938920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 13938920 is about 3733.4863063898. The cubic root of 13938920 is about 240.6632118997.

The spelling of 13938920 in words is "thirteen million, nine hundred thirty-eight thousand, nine hundred twenty".