873444 has 48 divisors (see below), whose sum is σ = 2399040. Its totient is φ = 243840.

The previous prime is 873437. The next prime is 873461. The reversal of 873444 is 444378.

It is a super-2 number, since 2×873444² = 1525808842272, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8⁵ + 7⁷ + 4 + 3⁶ + 4² + 4⁷ .

It is an unprimeable number.

873444 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 15 ways as a sum of consecutive naturals, for example, 1462 + ... + 1970.

It is an arithmetic number, because the mean of its divisors is an integer number (49980).

2⁸⁷³⁴⁴⁴ 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 873444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199520).

873444 is an abundant number, since it is smaller than the sum of its proper divisors (1525596).

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

873444 is a wasteful number, since it uses less digits than its factorization.

873444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 873444 is about 934.5822596219. The cubic root of 873444 is about 95.5898298618.

It can be divided in two parts, 8734 and 44, that added together give a palindrome (8778).

The spelling of 873444 in words is "eight hundred seventy-three thousand, four hundred forty-four".