9145080 has 192 divisors, whose sum is σ = 35942400. Its totient is φ = 1969920.

The previous prime is 9145069. The next prime is 9145109. The reversal of 9145080 is 805419.

9145080 = T₂₀₉ + T₂₁₀ + ... + T₃₉₉.

9145080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47785 + ... + 47975.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

Almost surely, 2^9145080 is an apocalyptic number.

9145080 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 9145080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

9145080 is an abundant number, since it is smaller than the sum of its proper divisors (26797320).

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

9145080 is a wasteful number, since it uses less digits than its factorization.

9145080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 9145080 is about 3024.0833321851. The cubic root of 9145080 is about 209.1201281272.

The spelling of 9145080 in words is "nine million, one hundred forty-five thousand, eighty".