9925920 has 144 divisors (see below), whose sum is σ = 34732152. Its totient is φ = 2580480.

The previous prime is 9925919. The next prime is 9925931. The reversal of 9925920 is 295299.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 7817616 = 1452^2 + 2796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87784 + ... + 87896.

Almost surely, 2^9925920 is an apocalyptic number.

9925920 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 9925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076).

9925920 is an abundant number, since it is smaller than the sum of its proper divisors (24806232).

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

9925920 is a wasteful number, since it uses less digits than its factorization.

9925920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9925920 is about 3150.5428103741. The cubic root of 9925920 is about 214.9101481407.

The spelling of 9925920 in words is "nine million, nine hundred twenty-five thousand, nine hundred twenty".