13540608 has 90 divisors (see below), whose sum is σ = 40437474. Its totient is φ = 4506624.

The previous prime is 13540601. The next prime is 13540627. The reversal of 13540608 is 80604531.

13540608 is a `hidden beast` number, since 1 + 3 + 54 + 0 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 3504384 = 3168^2 + 1872^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540601) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20410 + ... + 21062.

Almost surely, 2^13540608 is an apocalyptic number.

13540608 is a gapful number since it is divisible by the number (18) 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 13540608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20218737).

13540608 is an abundant number, since it is smaller than the sum of its proper divisors (26896866).

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

13540608 is an frugal number, since it uses more digits than its factorization.

13540608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13540608 is about 3679.7565136840. The cubic root of 13540608 is about 238.3486639309.

The spelling of 13540608 in words is "thirteen million, five hundred forty thousand, six hundred eight".