882144 has 48 divisors (see below), whose sum is σ = 2575440. Its totient is φ = 293760.

The previous prime is 882139. The next prime is 882157. The reversal of 882144 is 441288.

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

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

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

It is a congruent number.

It is an unprimeable number.

882144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 354 + ... + 1374.

It is an arithmetic number, because the mean of its divisors is an integer number (53655).

2⁸⁸²¹⁴⁴ 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 882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287720).

882144 is an abundant number, since it is smaller than the sum of its proper divisors (1693296).

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

882144 is a wasteful number, since it uses less digits than its factorization.

882144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1026 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 882144 is about 939.2252126088. The cubic root of 882144 is about 95.9061582980.

The spelling of 882144 in words is "eight hundred eighty-two thousand, one hundred forty-four".