13578840 has 192 divisors, whose sum is σ = 50319360. Its totient is φ = 3265920.

The previous prime is 13578839. The next prime is 13578857. The reversal of 13578840 is 4887531.

13578840 is a `hidden beast` number, since 1 + 3 + 578 + 84 + 0 = 666.

13578840 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 13578795 and 13578804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106857 + ... + 106983.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^13578840 is an apocalyptic number.

13578840 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 13578840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

13578840 is an abundant number, since it is smaller than the sum of its proper divisors (36740520).

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

13578840 is a wasteful number, since it uses less digits than its factorization.

13578840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13578840 is about 3684.9477608238. The cubic root of 13578840 is about 238.5727794975.

The spelling of 13578840 in words is "thirteen million, five hundred seventy-eight thousand, eight hundred forty".