873504 has 60 divisors (see below), whose sum is σ = 2576574. Its totient is φ = 290304.

The previous prime is 873497. The next prime is 873527. The reversal of 873504 is 405378.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 63504 = 900^2 + 252^2 .

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

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2424 + ... + 2760.

2⁸⁷³⁵⁰⁴ 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 873504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288287).

873504 is an abundant number, since it is smaller than the sum of its proper divisors (1703070).

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

873504 is a wasteful number, since it uses less digits than its factorization.

873504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 873504 is about 934.6143589738. The cubic root of 873504 is about 95.5920186144.

The spelling of 873504 in words is "eight hundred seventy-three thousand, five hundred four".