13535640 has 128 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 3542400.

The previous prime is 13535629. The next prime is 13535647. The reversal of 13535640 is 4653531.

13535640 is a `hidden beast` number, since 13 + 5 + 3 + 5 + 640 = 666.

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 (13535647) 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 31 ways as a sum of consecutive naturals, for example, 89565 + ... + 89715.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^13535640 is an apocalyptic number.

13535640 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 13535640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

13535640 is an abundant number, since it is smaller than the sum of its proper divisors (32429160).

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

13535640 is a wasteful number, since it uses less digits than its factorization.

13535640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13535640 is about 3679.0814070906. The cubic root of 13535640 is about 238.3195106116.

The spelling of 13535640 in words is "thirteen million, five hundred thirty-five thousand, six hundred forty".