9761920 has 64 divisors (see below), whose sum is σ = 26683200. Its totient is φ = 3345408.

The previous prime is 9761909. The next prime is 9761923. The reversal of 9761920 is 291679.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (9761923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3391 + ... + 5569.

It is an arithmetic number, because the mean of its divisors is an integer number (416925).

Almost surely, 2^9761920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13341600).

9761920 is an abundant number, since it is smaller than the sum of its proper divisors (16921280).

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

9761920 is a wasteful number, since it uses less digits than its factorization.

9761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 9761920 is about 3124.4071437634. The cubic root of 9761920 is about 213.7199586156.

The spelling of 9761920 in words is "nine million, seven hundred sixty-one thousand, nine hundred twenty".