8505280 has 56 divisors (see below), whose sum is σ = 23152608. Its totient is φ = 2915328.

The previous prime is 8505269. The next prime is 8505283. The reversal of 8505280 is 825058.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8505283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342 + ... + 4138.

Almost surely, 2^8505280 is an apocalyptic number.

8505280 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 8505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11576304).

8505280 is an abundant number, since it is smaller than the sum of its proper divisors (14647328).

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

8505280 is a wasteful number, since it uses less digits than its factorization.

8505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 8505280 is about 2916.3813193751. The cubic root of 8505280 is about 204.1250034843.

The spelling of 8505280 in words is "eight million, five hundred five thousand, two hundred eighty".