13981632 has 112 divisors (see below), whose sum is σ = 43110912. Its totient is φ = 3916800.

The previous prime is 13981621. The next prime is 13981637. The reversal of 13981632 is 23618931.

13981632 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 (112).

Its product of digits (7776) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 13981593 and 13981602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13981637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135693 + ... + 135795.

Almost surely, 2^13981632 is an apocalyptic number.

13981632 is a gapful number since it is divisible by the number (12) 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 13981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555456).

13981632 is an abundant number, since it is smaller than the sum of its proper divisors (29129280).

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

13981632 is a wasteful number, since it uses less digits than its factorization.

13981632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 13981632 is about 3739.2020539147. The cubic root of 13981632 is about 240.9087767324.

The spelling of 13981632 in words is "thirteen million, nine hundred eighty-one thousand, six hundred thirty-two".