873600 has 192 divisors, whose sum is σ = 3541440. Its totient is φ = 184320.

The previous prime is 873571. The next prime is 873617. The reversal of 873600 is 6378.

873600 = T₄₉ + T₅₀ + ... + T₁₇₄.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

873600 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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67194 + ... + 67206.

It is an arithmetic number, because the mean of its divisors is an integer number (18445).

2⁸⁷³⁶⁰⁰ is an apocalyptic number.

873600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770720).

873600 is an abundant number, since it is smaller than the sum of its proper divisors (2667840).

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

873600 is a wasteful number, since it uses less digits than its factorization.

873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 873600 is about 934.6657156438. The cubic root of 873600 is about 95.5955204101.

Adding to 873600 its reverse (6378), we get a palindrome (879978).

The spelling of 873600 in words is "eight hundred seventy-three thousand, six hundred".