8042832 has 120 divisors (see below), whose sum is σ = 26307840. Its totient is φ = 2246400.

The previous prime is 8042813. The next prime is 8042843. The reversal of 8042832 is 2382408.

It is a junction number, because it is equal to n+sod(n) for n = 8042796 and 8042805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79582 + ... + 79682.

It is an arithmetic number, because the mean of its divisors is an integer number (219232).

Almost surely, 2^8042832 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 8042832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153920).

8042832 is an abundant number, since it is smaller than the sum of its proper divisors (18265008).

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

8042832 is a wasteful number, since it uses less digits than its factorization.

8042832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8042832 is about 2835.9887164797. The cubic root of 8042832 is about 200.3562982143.

The spelling of 8042832 in words is "eight million, forty-two thousand, eight hundred thirty-two".