13832000 has 224 divisors, whose sum is σ = 44378880. Its totient is φ = 4147200.

The previous prime is 13831963. The next prime is 13832009. The reversal of 13832000 is 23831.

It is a tau number, because it is divible by the number of its divisors (224).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 13832000 = 20³ + 240³ = 180³ + 200³.

It is a self number, because there is not a number n which added to its sum of digits gives 13832000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13832009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727991 + ... + 728009.

It is an arithmetic number, because the mean of its divisors is an integer number (198120).

Almost surely, 2^13832000 is an apocalyptic number.

13832000 is a gapful number since it is divisible by the number (10) 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 13832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189440).

13832000 is an abundant number, since it is smaller than the sum of its proper divisors (30546880).

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

13832000 is a wasteful number, since it uses less digits than its factorization.

13832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13832000 is about 3719.1396854649. The cubic root of 13832000 is about 240.0462873686.

Adding to 13832000 its reverse (23831), we get a palindrome (13855831).

The spelling of 13832000 in words is "thirteen million, eight hundred thirty-two thousand".