8743680 has 288 divisors, whose sum is σ = 35320320. Its totient is φ = 2027520.

The previous prime is 8743673. The next prime is 8743681. The reversal of 8743680 is 863478.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8743681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380149 + ... + 380171.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 2^8743680 is an apocalyptic number.

8743680 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 8743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

8743680 is an abundant number, since it is smaller than the sum of its proper divisors (26576640).

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

8743680 is a wasteful number, since it uses less digits than its factorization.

8743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8743680 is about 2956.9714236022. The cubic root of 8743680 is about 206.0146406159.

It can be divided in two parts, 874 and 3680, that added together give a palindrome (4554).

The spelling of 8743680 in words is "eight million, seven hundred forty-three thousand, six hundred eighty".