803160 has 96 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 202752.

The previous prime is 803141. The next prime is 803171. The reversal of 803160 is 61308.

803160 = 58² + 59² + ... + 137².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8232 + ... + 8328.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2⁸⁰³¹⁶⁰ 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 803160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

803160 is an abundant number, since it is smaller than the sum of its proper divisors (1948680).

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

803160 is a wasteful number, since it uses less digits than its factorization.

803160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 803160 is about 896.1919437263. The cubic root of 803160 is about 92.9538445962.

Adding to 803160 its reverse (61308), we get a palindrome (864468).

It can be divided in two parts, 80 and 3160, that added together give a triangular number (3240 = T₈₀).

The spelling of 803160 in words is "eight hundred three thousand, one hundred sixty".