8706852000 has 960 divisors, whose sum is σ = 39956716800. Its totient is φ = 1804032000.

The previous prime is 8706851987. The next prime is 8706852001. The reversal of 8706852000 is 2586078.

8706852000 is a `hidden beast` number, since 8 + 70 + 68 + 520 + 0 + 0 = 666.

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 (8706852001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24947826 + ... + 24948174.

It is an arithmetic number, because the mean of its divisors is an integer number (41621580).

Almost surely, 2^8706852000 is an apocalyptic number.

8706852000 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 8706852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978358400).

8706852000 is an abundant number, since it is smaller than the sum of its proper divisors (31249864800).

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

8706852000 is a wasteful number, since it uses less digits than its factorization.

8706852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8706852000 is about 93310.5138770546. The cubic root of 8706852000 is about 2057.2499200231.

The spelling of 8706852000 in words is "eight billion, seven hundred six million, eight hundred fifty-two thousand".