873360 has 60 divisors (see below), whose sum is σ = 2935452. Its totient is φ = 232704.

The previous prime is 873359. The next prime is 873403. The reversal of 873360 is 63378.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 725904 = 384^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114 + ... + 1326.

2⁸⁷³³⁶⁰ is an apocalyptic number.

873360 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 873360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467726).

873360 is an abundant number, since it is smaller than the sum of its proper divisors (2062092).

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

873360 is a wasteful number, since it uses less digits than its factorization.

873360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 873360 is about 934.5373186770. The cubic root of 873360 is about 95.5867654397.

The spelling of 873360 in words is "eight hundred seventy-three thousand, three hundred sixty".