8681000 has 32 divisors (see below), whose sum is σ = 20315880. Its totient is φ = 3472000.

The previous prime is 8680993. The next prime is 8681003. The reversal of 8681000 is 1868.

It can be written as a sum of positive squares in 4 ways, for example, as 4024036 + 4656964 = 2006^2 + 2158^2 .

It is a super-2 number, since 2×8681000² = 150719522000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8681003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3341 + ... + 5340.

Almost surely, 2^8681000 is an apocalyptic number.

It is an amenable number.

8681000 is an abundant number, since it is smaller than the sum of its proper divisors (11634880).

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

8681000 is a wasteful number, since it uses less digits than its factorization.

8681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8681000 is about 2946.3536787019. The cubic root of 8681000 is about 205.5211803026.

Adding to 8681000 its reverse (1868), we get a palindrome (8682868).

The spelling of 8681000 in words is "eight million, six hundred eighty-one thousand".