13578240 has 208 divisors, whose sum is σ = 49539168. Its totient is φ = 3145728.

The previous prime is 13578203. The next prime is 13578241. The reversal of 13578240 is 4287531.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13578198 and 13578207.

It is not an unprimeable number, because it can be changed into a prime (13578241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798712 + ... + 798728.

Almost surely, 2^13578240 is an apocalyptic number.

13578240 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 13578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24769584).

13578240 is an abundant number, since it is smaller than the sum of its proper divisors (35960928).

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

13578240 is a wasteful number, since it uses less digits than its factorization.

13578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 13578240 is about 3684.8663476441. The cubic root of 13578240 is about 238.5692655553.

The spelling of 13578240 in words is "thirteen million, five hundred seventy-eight thousand, two hundred forty".