13527456 has 96 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 4214784.

The previous prime is 13527433. The next prime is 13527457. The reversal of 13527456 is 65472531.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13527457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119656 + ... + 119768.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 2^13527456 is an apocalyptic number.

13527456 is a gapful number since it is divisible by the number (16) 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 13527456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

13527456 is an abundant number, since it is smaller than the sum of its proper divisors (24393504).

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

13527456 is a wasteful number, since it uses less digits than its factorization.

13527456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 13527456 is about 3677.9690047634. The cubic root of 13527456 is about 238.2714695364.

Adding to 13527456 its reverse (65472531), we get a palindrome (78999987).

The spelling of 13527456 in words is "thirteen million, five hundred twenty-seven thousand, four hundred fifty-six".