9008280 has 128 divisors (see below), whose sum is σ = 31680000. Its totient is φ = 2270592.

The previous prime is 9008269. The next prime is 9008281. The reversal of 9008280 is 828009.

It is a super-3 number, since 3×9008280³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9008281) 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, 20301 + ... + 20739.

It is an arithmetic number, because the mean of its divisors is an integer number (247500).

Almost surely, 2^9008280 is an apocalyptic number.

9008280 is a gapful number since it is divisible by the number (90) 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 9008280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840000).

9008280 is an abundant number, since it is smaller than the sum of its proper divisors (22671720).

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

9008280 is a wasteful number, since it uses less digits than its factorization.

9008280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9008280 is about 3001.3796827459. The cubic root of 9008280 is about 208.0721519904.

It can be divided in two parts, 900 and 8280, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 9008280 in words is "nine million, eight thousand, two hundred eighty".