830160 has 60 divisors (see below), whose sum is σ = 2790372. Its totient is φ = 221184.

The previous prime is 830153. The next prime is 830173. The reversal of 830160 is 61038.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 345744 = 696^2 + 588^2 .

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

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

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 830160.

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, 144 + ... + 1296.

2⁸³⁰¹⁶⁰ is an apocalyptic number.

830160 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 830160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395186).

830160 is an abundant number, since it is smaller than the sum of its proper divisors (1960212).

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

830160 is a wasteful number, since it uses less digits than its factorization.

830160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1163 counting only the distinct ones).

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

The square root of 830160 is about 911.1311650910. The cubic root of 830160 is about 93.9840021062.

Adding to 830160 its reverse (61038), we get a palindrome (891198).

It can be divided in two parts, 830 and 160, that added together give a triangular number (990 = T₄₄).

The spelling of 830160 in words is "eight hundred thirty thousand, one hundred sixty".