13936608 has 144 divisors (see below), whose sum is σ = 46964736. Its totient is φ = 3836160.

The previous prime is 13936607. The next prime is 13936619. The reversal of 13936608 is 80663931.

It is a happy number.

13936608 is a `hidden beast` number, since 13 + 9 + 36 + 608 = 666.

13936608 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

13936608 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13936607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62385 + ... + 62607.

It is an arithmetic number, because the mean of its divisors is an integer number (326144).

Almost surely, 2^13936608 is an apocalyptic number.

13936608 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 13936608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482368).

13936608 is an abundant number, since it is smaller than the sum of its proper divisors (33028128).

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

13936608 is a wasteful number, since it uses less digits than its factorization.

13936608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13936608 is about 3733.1766633793. The cubic root of 13936608 is about 240.6499051750.

It can be divided in two parts, 1393 and 6608, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 13936608 in words is "thirteen million, nine hundred thirty-six thousand, six hundred eight".