8027102160 has 960 divisors, whose sum is σ = 36837642240. Its totient is φ = 1560453120.

The previous prime is 8027102101. The next prime is 8027102173. The reversal of 8027102160 is 612017208.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48066397 + ... + 48066563.

It is an arithmetic number, because the mean of its divisors is an integer number (38372544).

Almost surely, 2^8027102160 is an apocalyptic number.

8027102160 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 8027102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18418821120).

8027102160 is an abundant number, since it is smaller than the sum of its proper divisors (28810540080).

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

8027102160 is a wasteful number, since it uses less digits than its factorization.

8027102160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8027102160 is about 89594.0966805291. The cubic root of 8027102160 is about 2002.2559676815.

Adding to 8027102160 its reverse (612017208), we get a palindrome (8639119368).

The spelling of 8027102160 in words is "eight billion, twenty-seven million, one hundred two thousand, one hundred sixty".