13981536 has 72 divisors (see below), whose sum is σ = 40720680. Its totient is φ = 4548096.

The previous prime is 13981519. The next prime is 13981537. The reversal of 13981536 is 63518931.

It is a happy number.

13981536 is digitally balanced in base 2, because in such base 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 (72).

It is a super-4 number, since 4×13981536⁴ (a number of 30 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13981536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13981537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11820 + ... + 12948.

It is an arithmetic number, because the mean of its divisors is an integer number (565565).

Almost surely, 2^13981536 is an apocalyptic number.

13981536 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 13981536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20360340).

13981536 is an abundant number, since it is smaller than the sum of its proper divisors (26739144).

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

13981536 is a wasteful number, since it uses less digits than its factorization.

13981536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1177 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 13981536 is about 3739.1892169293. The cubic root of 13981536 is about 240.9082253591.

The spelling of 13981536 in words is "thirteen million, nine hundred eighty-one thousand, five hundred thirty-six".