8689920 has 144 divisors (see below), whose sum is σ = 29041152. Its totient is φ = 2211840.

The previous prime is 8689853. The next prime is 8689943. The reversal of 8689920 is 299868.

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, 119004 + ... + 119076.

Almost surely, 2^8689920 is an apocalyptic number.

8689920 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 8689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520576).

8689920 is an abundant number, since it is smaller than the sum of its proper divisors (20351232).

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

8689920 is a wasteful number, since it uses less digits than its factorization.

8689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 8689920 is about 2947.8670254949. The cubic root of 8689920 is about 205.5915493607.

The spelling of 8689920 in words is "eight million, six hundred eighty-nine thousand, nine hundred twenty".