8580480 has 128 divisors (see below), whose sum is σ = 28274400. Its totient is φ = 2211840.

The previous prime is 8580479. The next prime is 8580487. The reversal of 8580480 is 840858.

8580480 = 40² + 41² + ... + 295².

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 (8580487) 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, 78666 + ... + 78774.

Almost surely, 2^8580480 is an apocalyptic number.

8580480 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 8580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137200).

8580480 is an abundant number, since it is smaller than the sum of its proper divisors (19693920).

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

8580480 is a wasteful number, since it uses less digits than its factorization.

8580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 8580480 is about 2929.2456366785. The cubic root of 8580480 is about 204.7248340695.

The spelling of 8580480 in words is "eight million, five hundred eighty thousand, four hundred eighty".