13820832 has 72 divisors (see below), whose sum is σ = 40396356. Its totient is φ = 4478976.

The previous prime is 13820819. The next prime is 13820843. The reversal of 13820832 is 23802831.

It can be written as a sum of positive squares in 2 ways, for example, as 9511056 + 4309776 = 3084^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 13820796 and 13820805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10008 + ... + 11304.

Almost surely, 2^13820832 is an apocalyptic number.

13820832 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 13820832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20198178).

13820832 is an abundant number, since it is smaller than the sum of its proper divisors (26575524).

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

13820832 is a wasteful number, since it uses less digits than its factorization.

13820832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13820832 is about 3717.6379597804. The cubic root of 13820832 is about 239.9816652660.

The spelling of 13820832 in words is "thirteen million, eight hundred twenty thousand, eight hundred thirty-two".