8706000 has 80 divisors (see below), whose sum is σ = 28087488. Its totient is φ = 2320000.

The previous prime is 8705999. The next prime is 8706001. The reversal of 8706000 is 6078.

It is an interprime number because it is at equal distance from previous prime (8705999) and next prime (8706001).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8706001) 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 15 ways as a sum of consecutive naturals, for example, 5275 + ... + 6725.

Almost surely, 2^8706000 is an apocalyptic number.

8706000 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 8706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043744).

8706000 is an abundant number, since it is smaller than the sum of its proper divisors (19381488).

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

8706000 is a wasteful number, since it uses less digits than its factorization.

8706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 8706000 is about 2950.5931607051. The cubic root of 8706000 is about 205.7182814480.

The spelling of 8706000 in words is "eight million, seven hundred six thousand".