9097161840 has 560 divisors, whose sum is σ = 34837145280. Its totient is φ = 2207761920.

The previous prime is 9097161833. The next prime is 9097161859. The reversal of 9097161840 is 481617909.

It is a happy number.

9097161840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 128129005 + ... + 128129075.

It is an arithmetic number, because the mean of its divisors is an integer number (62209188).

Almost surely, 2^9097161840 is an apocalyptic number.

9097161840 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 9097161840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418572640).

9097161840 is an abundant number, since it is smaller than the sum of its proper divisors (25739983440).

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

9097161840 is an equidigital number, since it uses as much as digits as its factorization.

9097161840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 9097161840 is about 95379.0429811497. The cubic root of 9097161840 is about 2087.5424086428.

The spelling of 9097161840 in words is "nine billion, ninety-seven million, one hundred sixty-one thousand, eight hundred forty".