10842832 has 80 divisors (see below), whose sum is σ = 28248192. Its totient is φ = 3893760.

The previous prime is 10842827. The next prime is 10842833. The reversal of 10842832 is 23824801.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10842832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10842833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15678 + ... + 16354.

Almost surely, 2^10842832 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 10842832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124096).

10842832 is an abundant number, since it is smaller than the sum of its proper divisors (17405360).

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

10842832 is a wasteful number, since it uses less digits than its factorization.

10842832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 10842832 is about 3292.8455779159. The cubic root of 10842832 is about 221.3337163910. Note that the first 3 decimals are identical.

It can be divided in two parts, 1084 and 2832, that added together give a triangular number (3916 = T₈₈).

The spelling of 10842832 in words is "ten million, eight hundred forty-two thousand, eight hundred thirty-two".