9090305280 has 864 divisors, whose sum is σ = 40176864000. Its totient is φ = 1847328768.

The previous prime is 9090305267. The next prime is 9090305281. The reversal of 9090305280 is 825030909.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9090305281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26046546 + ... + 26046894.

It is an arithmetic number, because the mean of its divisors is an integer number (46501000).

Almost surely, 2^9090305280 is an apocalyptic number.

9090305280 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 9090305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088432000).

9090305280 is an abundant number, since it is smaller than the sum of its proper divisors (31086558720).

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

9090305280 is a wasteful number, since it uses less digits than its factorization.

9090305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9090305280 is about 95343.0924608595. The cubic root of 9090305280 is about 2087.0178143593.

The spelling of 9090305280 in words is "nine billion, ninety million, three hundred five thousand, two hundred eighty".