8688000 has 128 divisors (see below), whose sum is σ = 28959840. Its totient is φ = 2304000.

The previous prime is 8687993. The next prime is 8688011. The reversal of 8688000 is 8868.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47910 + ... + 48090.

Almost surely, 2^8688000 is an apocalyptic number.

8688000 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 8688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14479920).

8688000 is an abundant number, since it is smaller than the sum of its proper divisors (20271840).

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

8688000 is a wasteful number, since it uses less digits than its factorization.

8688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 8688000 is about 2947.5413483105. The cubic root of 8688000 is about 205.5764067261.

The spelling of 8688000 in words is "eight million, six hundred eighty-eight thousand".