8903082240 has 648 divisors, whose sum is σ = 35448908040. Its totient is φ = 2054946816.

The previous prime is 8903082217. The next prime is 8903082269. The reversal of 8903082240 is 422803098.

It can be written as a sum of positive squares in 12 ways, for example, as 6054084864 + 2848997376 = 77808^2 + 53376^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 8903082195 and 8903082204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33096826 + ... + 33097094.

It is an arithmetic number, because the mean of its divisors is an integer number (54705105).

Almost surely, 2^8903082240 is an apocalyptic number.

8903082240 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 8903082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17724454020).

8903082240 is an abundant number, since it is smaller than the sum of its proper divisors (26545825800).

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

8903082240 is a wasteful number, since it uses less digits than its factorization.

8903082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 309 counting only the distinct ones).

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

The square root of 8903082240 is about 94356.1457457859. The cubic root of 8903082240 is about 2072.5903020376.

The spelling of 8903082240 in words is "eight billion, nine hundred three million, eighty-two thousand, two hundred forty".