14638896 has 60 divisors (see below), whose sum is σ = 41228512. Its totient is φ = 4848768.

The previous prime is 14638891. The next prime is 14638901. The reversal of 14638896 is 69883641.

14638896 is a `hidden beast` number, since 1 + 4 + 638 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (14638891) and next prime (14638901).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14638891) 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, 39705 + ... + 40071.

Almost surely, 2^14638896 is an apocalyptic number.

14638896 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 14638896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20614256).

14638896 is an abundant number, since it is smaller than the sum of its proper divisors (26589616).

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

14638896 is a wasteful number, since it uses less digits than its factorization.

14638896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 649 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 14638896 is about 3826.0810237108. The cubic root of 14638896 is about 244.6260907583.

The spelling of 14638896 in words is "fourteen million, six hundred thirty-eight thousand, eight hundred ninety-six".