9080248320 has 864 divisors, whose sum is σ = 37876915440. Its totient is φ = 1993605120.

The previous prime is 9080248313. The next prime is 9080248321. The reversal of 9080248320 is 238420809.

9080248320 is a `hidden beast` number, since 90 + 8 + 0 + 248 + 320 = 666.

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 (9080248321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171325414 + ... + 171325466.

Almost surely, 2^9080248320 is an apocalyptic number.

9080248320 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 9080248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18938457720).

9080248320 is an abundant number, since it is smaller than the sum of its proper divisors (28796667120).

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

9080248320 is a wasteful number, since it uses less digits than its factorization.

9080248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9080248320 is about 95290.3369707548. The cubic root of 9080248320 is about 2086.2478805624.

The spelling of 9080248320 in words is "nine billion, eighty million, two hundred forty-eight thousand, three hundred twenty".