9061920 has 288 divisors, whose sum is σ = 37739520. Its totient is φ = 1935360.

The previous prime is 9061919. The next prime is 9061939. The reversal of 9061920 is 291609.

9061920 = T₁₆₅ + T₁₆₆ + ... + T₃₈₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292305 + ... + 292335.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 2^9061920 is an apocalyptic number.

9061920 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 9061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

9061920 is an abundant number, since it is smaller than the sum of its proper divisors (28677600).

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

9061920 is a wasteful number, since it uses less digits than its factorization.

9061920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9061920 is about 3010.3023104001. The cubic root of 9061920 is about 208.4843250297.

The spelling of 9061920 in words is "nine million, sixty-one thousand, nine hundred twenty".