13438976 has 52 divisors (see below), whose sum is σ = 28602972. Its totient is φ = 6291456.

The previous prime is 13438973. The next prime is 13438979. The reversal of 13438976 is 67983431.

It is an interprime number because it is at equal distance from previous prime (13438973) and next prime (13438979).

It can be written as a sum of positive squares in 2 ways, for example, as 6885376 + 6553600 = 2624^2 + 2560^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13438973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69536 + ... + 69728.

Almost surely, 2^13438976 is an apocalyptic number.

13438976 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 13438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301486).

13438976 is an abundant number, since it is smaller than the sum of its proper divisors (15163996).

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

13438976 is an equidigital number, since it uses as much as digits as its factorization.

13438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 13438976 is about 3665.9208938546. The cubic root of 13438976 is about 237.7508396872.

The spelling of 13438976 in words is "thirteen million, four hundred thirty-eight thousand, nine hundred seventy-six".