9165229920 has 768 divisors, whose sum is σ = 40758681600. Its totient is φ = 1868175360.

The previous prime is 9165229901. The next prime is 9165229921. The reversal of 9165229920 is 299225619.

9165229920 is a `hidden beast` number, since 9 + 16 + 522 + 99 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9165229921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19625527 + ... + 19625993.

It is an arithmetic number, because the mean of its divisors is an integer number (53071200).

Almost surely, 2^9165229920 is an apocalyptic number.

9165229920 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 9165229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379340800).

9165229920 is an abundant number, since it is smaller than the sum of its proper divisors (31593451680).

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

9165229920 is a wasteful number, since it uses less digits than its factorization.

9165229920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9165229920 is about 95735.2073168487. The cubic root of 9165229920 is about 2092.7360456216.

The spelling of 9165229920 in words is "nine billion, one hundred sixty-five million, two hundred twenty-nine thousand, nine hundred twenty".