9061940160 has 672 divisors, whose sum is σ = 38982408192. Its totient is φ = 1881169920.

The previous prime is 9061940149. The next prime is 9061940179. The reversal of 9061940160 is 610491609.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 18607437 + ... + 18607923.

It is an arithmetic number, because the mean of its divisors is an integer number (58009536).

Almost surely, 2^9061940160 is an apocalyptic number.

9061940160 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 9061940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19491204096).

9061940160 is an abundant number, since it is smaller than the sum of its proper divisors (29920468032).

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

9061940160 is a wasteful number, since it uses less digits than its factorization.

9061940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9061940160 is about 95194.2233541511. The cubic root of 9061940160 is about 2084.8447963419.

The spelling of 9061940160 in words is "nine billion, sixty-one million, nine hundred forty thousand, one hundred sixty".