13832832 has 128 divisors (see below), whose sum is σ = 42154560. Its totient is φ = 3981312.

The previous prime is 13832831. The next prime is 13832869. The reversal of 13832832 is 23823831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13832832² = 382694482280448, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13832832.

It is not an unprimeable number, because it can be changed into a prime (13832831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84783 + ... + 84945.

Almost surely, 2^13832832 is an apocalyptic number.

13832832 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 13832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21077280).

13832832 is an abundant number, since it is smaller than the sum of its proper divisors (28321728).

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

13832832 is a wasteful number, since it uses less digits than its factorization.

13832832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 13832832 is about 3719.2515376081. The cubic root of 13832832 is about 240.0511002302.

Subtracting 13832832 from its reverse (23823831), we obtain a palindrome (9990999).

The spelling of 13832832 in words is "thirteen million, eight hundred thirty-two thousand, eight hundred thirty-two".