9793105920 has 624 divisors, whose sum is σ = 37710315552. Its totient is φ = 2335703040.

The previous prime is 9793105919. The next prime is 9793105957. The reversal of 9793105920 is 295013979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146165727 + ... + 146165793.

It is an arithmetic number, because the mean of its divisors is an integer number (60433198).

Almost surely, 2^9793105920 is an apocalyptic number.

9793105920 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 9793105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855157776).

9793105920 is an abundant number, since it is smaller than the sum of its proper divisors (27917209632).

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

9793105920 is a wasteful number, since it uses less digits than its factorization.

9793105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9793105920 is about 98960.1228778542. The cubic root of 9793105920 is about 2139.4730352989.

The spelling of 9793105920 in words is "nine billion, seven hundred ninety-three million, one hundred five thousand, nine hundred twenty".