8649000 has 144 divisors (see below), whose sum is σ = 30207060. Its totient is φ = 2232000.

The previous prime is 8648953. The next prime is 8649001. The reversal of 8649000 is 9468.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5846724 + 2802276 = 2418^2 + 1674^2 .

It is not an unprimeable number, because it can be changed into a prime (8649001) 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 35 ways as a sum of consecutive naturals, for example, 278985 + ... + 279015.

Almost surely, 2^8649000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103530).

8649000 is an abundant number, since it is smaller than the sum of its proper divisors (21558060).

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

8649000 is a wasteful number, since it uses less digits than its factorization.

8649000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8649000 is about 2940.9182239566. The cubic root of 8649000 is about 205.2683378741.

The spelling of 8649000 in words is "eight million, six hundred forty-nine thousand".