9835920 has 120 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 2481408.

The previous prime is 9835919. The next prime is 9835951. The reversal of 9835920 is 295389.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13321 + ... + 14039.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^9835920 is an apocalyptic number.

9835920 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 9835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

9835920 is an abundant number, since it is smaller than the sum of its proper divisors (24983280).

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

9835920 is a wasteful number, since it uses less digits than its factorization.

9835920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9835920 is about 3136.2270325982. The cubic root of 9835920 is about 214.2586327680.

It can be divided in two parts, 983 and 5920, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 9835920 in words is "nine million, eight hundred thirty-five thousand, nine hundred twenty".