13638976 has 56 divisors (see below), whose sum is σ = 29621480. Its totient is φ = 6230016.

The previous prime is 13638943. The next prime is 13638991. The reversal of 13638976 is 67983631.

It can be written as a sum of positive squares in 4 ways, for example, as 4494400 + 9144576 = 2120^2 + 3024^2 .

Its product of digits (163296) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140560 + ... + 140656.

It is an arithmetic number, because the mean of its divisors is an integer number (528955).

Almost surely, 2^13638976 is an apocalyptic number.

13638976 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 13638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810740).

13638976 is an abundant number, since it is smaller than the sum of its proper divisors (15982504).

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

13638976 is an frugal number, since it uses more digits than its factorization.

With its successor (13638977) it forms an eRAP, since the sums of their prime factors are consecutive (148 and 149).

13638976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 13638976 is about 3693.0984281495. The cubic root of 13638976 is about 238.9244463948.

The spelling of 13638976 in words is "thirteen million, six hundred thirty-eight thousand, nine hundred seventy-six".