40832 has 32 divisors (see below), whose sum is σ = 91800. Its totient is φ = 17920.

The previous prime is 40829. The next prime is 40841. The reversal of 40832 is 23804.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 40832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1394 + ... + 1422.

2⁴⁰⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45900).

40832 is an abundant number, since it is smaller than the sum of its proper divisors (50968).

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

40832 is a wasteful number, since it uses less digits than its factorization.

40832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 40832 is about 202.0692950450. The cubic root of 40832 is about 34.4350103272.

The spelling of 40832 in words is "forty thousand, eight hundred thirty-two".