884832 has 48 divisors (see below), whose sum is σ = 2504880. Its totient is φ = 271872.

The previous prime is 884831. The next prime is 884857. The reversal of 884832 is 238488.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 884793 and 884802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (884831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894 + ... + 1602.

It is an arithmetic number, because the mean of its divisors is an integer number (52185).

2⁸⁸⁴⁸³² 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 884832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252440).

884832 is an abundant number, since it is smaller than the sum of its proper divisors (1620048).

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

884832 is a wasteful number, since it uses less digits than its factorization.

884832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 727 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 884832 is about 940.6550908808. The cubic root of 884832 is about 96.0034720966.

The spelling of 884832 in words is "eight hundred eighty-four thousand, eight hundred thirty-two".