13938840 has 96 divisors (see below), whose sum is σ = 46800000. Its totient is φ = 3594240.

The previous prime is 13938823. The next prime is 13938857. The reversal of 13938840 is 4883931.

It is an interprime number because it is at equal distance from previous prime (13938823) and next prime (13938857).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13938795 and 13938804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10536 + ... + 11784.

It is an arithmetic number, because the mean of its divisors is an integer number (487500).

Almost surely, 2^13938840 is an apocalyptic number.

13938840 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 13938840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23400000).

13938840 is an abundant number, since it is smaller than the sum of its proper divisors (32861160).

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

13938840 is a wasteful number, since it uses less digits than its factorization.

13938840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13938840 is about 3733.4755925277. The cubic root of 13938840 is about 240.6627514840.

The spelling of 13938840 in words is "thirteen million, nine hundred thirty-eight thousand, eight hundred forty".