8102160 has 240 divisors, whose sum is σ = 31664640. Its totient is φ = 1900800.

The previous prime is 8102137. The next prime is 8102167. The reversal of 8102160 is 612018.

8102160 = T₂₄ + T₂₅ + ... + T₃₆₄.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261345 + ... + 261375.

It is an arithmetic number, because the mean of its divisors is an integer number (131936).

Almost surely, 2^8102160 is an apocalyptic number.

8102160 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 8102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

8102160 is an abundant number, since it is smaller than the sum of its proper divisors (23562480).

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

8102160 is a wasteful number, since it uses less digits than its factorization.

8102160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 8102160 is about 2846.4293421759. The cubic root of 8102160 is about 200.8477349834.

Adding to 8102160 its reverse (612018), we get a palindrome (8714178).

The spelling of 8102160 in words is "eight million, one hundred two thousand, one hundred sixty".