9105798240 has 576 divisors, whose sum is σ = 39705748992. Its totient is φ = 1845043200.

The previous prime is 9105798223. The next prime is 9105798253. The reversal of 9105798240 is 428975019.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4545079 + ... + 4547081.

It is an arithmetic number, because the mean of its divisors is an integer number (68933592).

Almost surely, 2^9105798240 is an apocalyptic number.

9105798240 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 9105798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19852874496).

9105798240 is an abundant number, since it is smaller than the sum of its proper divisors (30599950752).

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

9105798240 is a wasteful number, since it uses less digits than its factorization.

9105798240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 9105798240 is about 95424.3063375365. The cubic root of 9105798240 is about 2088.2028032195.

It can be divided in two parts, 910579 and 8240, that added together give a palindrome (918819).

The spelling of 9105798240 in words is "nine billion, one hundred five million, seven hundred ninety-eight thousand, two hundred forty".