832160 has 48 divisors (see below), whose sum is σ = 2249856. Its totient is φ = 284928.

The previous prime is 832159. The next prime is 832189. The reversal of 832160 is 61238.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749 + ... + 1491.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁸³²¹⁶⁰ is an apocalyptic number.

832160 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 832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928).

832160 is an abundant number, since it is smaller than the sum of its proper divisors (1417696).

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

832160 is a wasteful number, since it uses less digits than its factorization.

832160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 832160 is about 912.2280416650. The cubic root of 832160 is about 94.0594161857.

Adding to 832160 its reverse (61238), we get a palindrome (893398).

The spelling of 832160 in words is "eight hundred thirty-two thousand, one hundred sixty".