8947680 has 96 divisors (see below), whose sum is σ = 32223744. Its totient is φ = 2044416.

The previous prime is 8947669. The next prime is 8947681. The reversal of 8947680 is 867498.

8947680 = T₉₁ + T₉₂ + ... + T₃₇₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8947681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2029 + ... + 4691.

It is an arithmetic number, because the mean of its divisors is an integer number (335664).

Almost surely, 2^8947680 is an apocalyptic number.

8947680 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 8947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111872).

8947680 is an abundant number, since it is smaller than the sum of its proper divisors (23276064).

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

8947680 is a wasteful number, since it uses less digits than its factorization.

8947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 8947680 is about 2991.2672899626. The cubic root of 8947680 is about 207.6045246841.

The spelling of 8947680 in words is "eight million, nine hundred forty-seven thousand, six hundred eighty".