8705295360 has 528 divisors, whose sum is σ = 32469677760. Its totient is φ = 2149908480.

The previous prime is 8705295353. The next prime is 8705295367. The reversal of 8705295360 is 635925078.

It is a happy number.

8705295360 is a `hidden beast` number, since 8 + 70 + 529 + 53 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8705295353) and next prime (8705295367).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8705295367) 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, 53406639 + ... + 53406801.

Almost surely, 2^8705295360 is an apocalyptic number.

8705295360 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 8705295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16234838880).

8705295360 is an abundant number, since it is smaller than the sum of its proper divisors (23764382400).

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

8705295360 is a wasteful number, since it uses less digits than its factorization.

8705295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 8705295360 is about 93302.1723219776. The cubic root of 8705295360 is about 2057.1273120518.

The spelling of 8705295360 in words is "eight billion, seven hundred five million, two hundred ninety-five thousand, three hundred sixty".