13958720 has 56 divisors (see below), whose sum is σ = 33561528. Its totient is φ = 5529600.

The previous prime is 13958701. The next prime is 13958729. The reversal of 13958720 is 2785931.

13958720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 13778944 = 424^2 + 3712^2 .

It is not an unprimeable number, because it can be changed into a prime (13958729) 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, 57800 + ... + 58040.

It is an arithmetic number, because the mean of its divisors is an integer number (599313).

Almost surely, 2^13958720 is an apocalyptic number.

13958720 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 13958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780764).

13958720 is an abundant number, since it is smaller than the sum of its proper divisors (19602808).

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

13958720 is a wasteful number, since it uses less digits than its factorization.

13958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 13958720 is about 3736.1370424544. The cubic root of 13958720 is about 240.7771106597. Note that the first 3 decimals are identical.

The spelling of 13958720 in words is "thirteen million, nine hundred fifty-eight thousand, seven hundred twenty".