9793920 has 64 divisors (see below), whose sum is σ = 31224240. Its totient is φ = 2611200.

The previous prime is 9793897. The next prime is 9793933. The reversal of 9793920 is 293979.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631 + ... + 4470.

Almost surely, 2^9793920 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 9793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15612120).

9793920 is an abundant number, since it is smaller than the sum of its proper divisors (21430320).

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

9793920 is a wasteful number, since it uses less digits than its factorization.

9793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 9793920 is about 3129.5239254558. The cubic root of 9793920 is about 213.9532316932.

The spelling of 9793920 in words is "nine million, seven hundred ninety-three thousand, nine hundred twenty".