8670080 has 128 divisors (see below), whose sum is σ = 23500800. Its totient is φ = 3041280.

The previous prime is 8670071. The next prime is 8670089. The reversal of 8670080 is 800768.

It is an interprime number because it is at equal distance from previous prime (8670071) and next prime (8670089).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8670089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279665 + ... + 279695.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 2^8670080 is an apocalyptic number.

8670080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is a pronic number, being equal to 2944×2945.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750400).

8670080 is an abundant number, since it is smaller than the sum of its proper divisors (14830720).

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

8670080 is a wasteful number, since it uses less digits than its factorization.

8670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 8670080 is about 2944.4999575480. The cubic root of 8670080 is about 205.4349677698.

Adding to 8670080 its product of nonzero digits (2688), we get a palindrome (8672768).

The spelling of 8670080 in words is "eight million, six hundred seventy thousand, eighty".