13958240 has 48 divisors (see below), whose sum is σ = 34419168. Its totient is φ = 5339136.

The previous prime is 13958221. The next prime is 13958249. The reversal of 13958240 is 4285931.

13958240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13958197 and 13958206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13958249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1784 + ... + 5576.

It is an arithmetic number, because the mean of its divisors is an integer number (717066).

Almost surely, 2^13958240 is an apocalyptic number.

13958240 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 13958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209584).

13958240 is an abundant number, since it is smaller than the sum of its proper divisors (20460928).

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

13958240 is a wasteful number, since it uses less digits than its factorization.

13958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 13958240 is about 3736.0728044298. The cubic root of 13958240 is about 240.7743507520.

The spelling of 13958240 in words is "thirteen million, nine hundred fifty-eight thousand, two hundred forty".