8027291160 has 192 divisors, whose sum is σ = 30920198400. Its totient is φ = 1834793856.

The previous prime is 8027291143. The next prime is 8027291161. The reversal of 8027291160 is 611927208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8027291161) 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, 9051 + ... + 127029.

It is an arithmetic number, because the mean of its divisors is an integer number (161042700).

Almost surely, 2^8027291160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8027291160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460099200).

8027291160 is an abundant number, since it is smaller than the sum of its proper divisors (22892907240).

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

8027291160 is a wasteful number, since it uses less digits than its factorization.

8027291160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118012 (or 117996 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 8027291160 is about 89595.1514313135. The cubic root of 8027291160 is about 2002.2716820867.

The spelling of 8027291160 in words is "eight billion, twenty-seven million, two hundred ninety-one thousand, one hundred sixty".