8710940160 has 480 divisors, whose sum is σ = 32887895040. Its totient is φ = 2118057984.

The previous prime is 8710940149. The next prime is 8710940197. The reversal of 8710940160 is 610490178.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8710940160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38038926 + ... + 38039154.

It is an arithmetic number, because the mean of its divisors is an integer number (68516448).

Almost surely, 2^8710940160 is an apocalyptic number.

8710940160 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 8710940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443947520).

8710940160 is an abundant number, since it is smaller than the sum of its proper divisors (24176954880).

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

8710940160 is a wasteful number, since it uses less digits than its factorization.

8710940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

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

The square root of 8710940160 is about 93332.4175193164. The cubic root of 8710940160 is about 2057.5718523304.

The spelling of 8710940160 in words is "eight billion, seven hundred ten million, nine hundred forty thousand, one hundred sixty".