13938540 has 144 divisors (see below), whose sum is σ = 49641984. Its totient is φ = 2889600.

The previous prime is 13938527. The next prime is 13938553. The reversal of 13938540 is 4583931.

It is an interprime number because it is at equal distance from previous prime (13938527) and next prime (13938553).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32125 + ... + 32555.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 2^13938540 is an apocalyptic number.

13938540 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 13938540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24820992).

13938540 is an abundant number, since it is smaller than the sum of its proper divisors (35703444).

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

13938540 is a wasteful number, since it uses less digits than its factorization.

13938540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 13938540 is about 3733.4354152710. The cubic root of 13938540 is about 240.6610249093.

The spelling of 13938540 in words is "thirteen million, nine hundred thirty-eight thousand, five hundred forty".