9165985920 has 1280 divisors, whose sum is σ = 42298502400. Its totient is φ = 1839366144.

The previous prime is 9165985901. The next prime is 9165985937. The reversal of 9165985920 is 295895619.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 136805727 + ... + 136805793.

It is an arithmetic number, because the mean of its divisors is an integer number (33045705).

Almost surely, 2^9165985920 is an apocalyptic number.

9165985920 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 9165985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21149251200).

9165985920 is an abundant number, since it is smaller than the sum of its proper divisors (33132516480).

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

9165985920 is a wasteful number, since it uses less digits than its factorization.

9165985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The square root of 9165985920 is about 95739.1556261073. The cubic root of 9165985920 is about 2092.7935842746.

The spelling of 9165985920 in words is "nine billion, one hundred sixty-five million, nine hundred eighty-five thousand, nine hundred twenty".