8706735360 has 360 divisors, whose sum is σ = 31578328320. Its totient is φ = 2290249728.

The previous prime is 8706735329. The next prime is 8706735397. The reversal of 8706735360 is 635376078.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8190189 + ... + 8191251.

Almost surely, 2^8706735360 is an apocalyptic number.

8706735360 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 8706735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15789164160).

8706735360 is an abundant number, since it is smaller than the sum of its proper divisors (22871592960).

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

8706735360 is a wasteful number, since it uses less digits than its factorization.

8706735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 8706735360 is about 93309.8888650072. Note that the first 4 decimals coincide. The cubic root of 8706735360 is about 2057.2407334383.

The spelling of 8706735360 in words is "eight billion, seven hundred six million, seven hundred thirty-five thousand, three hundred sixty".