8042160 has 80 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 1837824.

The previous prime is 8042159. The next prime is 8042183. The reversal of 8042160 is 612408.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714 + ... + 4073.

Almost surely, 2^8042160 is an apocalyptic number.

8042160 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 8042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

8042160 is an abundant number, since it is smaller than the sum of its proper divisors (20456016).

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

8042160 is a wasteful number, since it uses less digits than its factorization.

8042160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8042160 is about 2835.8702368056. The cubic root of 8042160 is about 200.3507179584.

Adding to 8042160 its reverse (612408), we get a palindrome (8654568).

The spelling of 8042160 in words is "eight million, forty-two thousand, one hundred sixty".