13527340 has 48 divisors (see below), whose sum is σ = 29846880. Its totient is φ = 5143040.

The previous prime is 13527337. The next prime is 13527347. The reversal of 13527340 is 4372531.

13527340 = T₁₅₉ + T₁₆₀ + ... + T₄₃₉.

13527340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13527347) 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, 48000 + ... + 48280.

It is an arithmetic number, because the mean of its divisors is an integer number (621810).

Almost surely, 2^13527340 is an apocalyptic number.

13527340 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 13527340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923440).

13527340 is an abundant number, since it is smaller than the sum of its proper divisors (16319540).

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

13527340 is a wasteful number, since it uses less digits than its factorization.

13527340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 13527340 is about 3677.9532351567. The cubic root of 13527340 is about 238.2707884630.

Adding to 13527340 its reverse (4372531), we get a palindrome (17899871).

The spelling of 13527340 in words is "thirteen million, five hundred twenty-seven thousand, three hundred forty".