13676832 has 108 divisors (see below), whose sum is σ = 42265314. Its totient is φ = 4193280.

The previous prime is 13676807. The next prime is 13676833. The reversal of 13676832 is 23867631.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8088336 + 5588496 = 2844^2 + 2364^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13676833) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48532 + ... + 48812.

Almost surely, 2^13676832 is an apocalyptic number.

13676832 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 13676832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21132657).

13676832 is an abundant number, since it is smaller than the sum of its proper divisors (28588482).

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

13676832 is a wasteful number, since it uses less digits than its factorization.

13676832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13676832 is about 3698.2201124325. The cubic root of 13676832 is about 239.1452930971.

The spelling of 13676832 in words is "thirteen million, six hundred seventy-six thousand, eight hundred thirty-two".