8959680 has 224 divisors, whose sum is σ = 34015680. Its totient is φ = 2211840.

The previous prime is 8959667. The next prime is 8959711. The reversal of 8959680 is 869598.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146850 + ... + 146910.

Almost surely, 2^8959680 is an apocalyptic number.

8959680 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 8959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007840).

8959680 is an abundant number, since it is smaller than the sum of its proper divisors (25056000).

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

8959680 is a wasteful number, since it uses less digits than its factorization.

8959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8959680 is about 2993.2724566935. The cubic root of 8959680 is about 207.6972914284.

It can be divided in two parts, 89596 and 80, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 8959680 in words is "eight million, nine hundred fifty-nine thousand, six hundred eighty".