8140160 has 128 divisors (see below), whose sum is σ = 23500800. Its totient is φ = 2635776.

The previous prime is 8140159. The next prime is 8140163. The reversal of 8140160 is 610418.

8140160 = 140² + 141² + ... + 300².

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8140163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103001 + ... + 103079.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 2^8140160 is an apocalyptic number.

8140160 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 8140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750400).

8140160 is an abundant number, since it is smaller than the sum of its proper divisors (15360640).

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

8140160 is a wasteful number, since it uses less digits than its factorization.

8140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 8140160 is about 2853.0965633851. The cubic root of 8140160 is about 201.1612445066.

Adding to 8140160 its reverse (610418), we get a palindrome (8750578).

The spelling of 8140160 in words is "eight million, one hundred forty thousand, one hundred sixty".