13577540 has 24 divisors (see below), whose sum is σ = 29053080. Its totient is φ = 5328128.

The previous prime is 13577527. The next prime is 13577549. The reversal of 13577540 is 4577531.

13577540 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 1522756 + 12054784 = 1234^2 + 3472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13577497 and 13577506.

It is not an unprimeable number, because it can be changed into a prime (13577549) 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, 5345 + ... + 7464.

It is an arithmetic number, because the mean of its divisors is an integer number (1210545).

Almost surely, 2^13577540 is an apocalyptic number.

13577540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13577540 is an abundant number, since it is smaller than the sum of its proper divisors (15475540).

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

13577540 is a wasteful number, since it uses less digits than its factorization.

13577540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12871 (or 12869 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 13577540 is about 3684.7713633277. The cubic root of 13577540 is about 238.5651658253.

Subtracting from 13577540 its reverse (4577531), we obtain a palindrome (9000009).

The spelling of 13577540 in words is "thirteen million, five hundred seventy-seven thousand, five hundred forty".