13558240 has 48 divisors (see below), whose sum is σ = 32387040. Its totient is φ = 5363200.

The previous prime is 13558219. The next prime is 13558261. The reversal of 13558240 is 4285531.

13558240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13558219) and next prime (13558261).

It is a junction number, because it is equal to n+sod(n) for n = 13558199 and 13558208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15741 + ... + 16579.

It is an arithmetic number, because the mean of its divisors is an integer number (674730).

Almost surely, 2^13558240 is an apocalyptic number.

13558240 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 13558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193520).

13558240 is an abundant number, since it is smaller than the sum of its proper divisors (18828800).

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

13558240 is a wasteful number, since it uses less digits than its factorization.

13558240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 13558240 is about 3682.1515449530. The cubic root of 13558240 is about 238.4520748666.

The spelling of 13558240 in words is "thirteen million, five hundred fifty-eight thousand, two hundred forty".