2084832 has 96 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 653184.

The previous prime is 2084791. The next prime is 2084833. The reversal of 2084832 is 2384802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2084796 and 2084805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16353 + ... + 16479.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

2^2084832 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 2084832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2084832 is an abundant number, since it is smaller than the sum of its proper divisors (4366368).

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

2084832 is a wasteful number, since it uses less digits than its factorization.

2084832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

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

The square root of 2084832 is about 1443.8947330051. The cubic root of 2084832 is about 127.7488565224.

It can be divided in two parts, 2084 and 832, that added together give a square (2916 = 54²).

The spelling of 2084832 in words is "two million, eighty-four thousand, eight hundred thirty-two".