13883832 has 128 divisors (see below), whose sum is σ = 43200000. Its totient is φ = 4105728.

The previous prime is 13883801. The next prime is 13883833. The reversal of 13883832 is 23838831.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13883833) 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, 69669 + ... + 69867.

It is an arithmetic number, because the mean of its divisors is an integer number (337500).

Almost surely, 2^13883832 is an apocalyptic number.

13883832 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 13883832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600000).

13883832 is an abundant number, since it is smaller than the sum of its proper divisors (29316168).

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

13883832 is a wasteful number, since it uses less digits than its factorization.

13883832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 13883832 is about 3726.1014478943. The cubic root of 13883832 is about 240.3457516599.

The spelling of 13883832 in words is "thirteen million, eight hundred eighty-three thousand, eight hundred thirty-two".