1009793120 has 96 divisors (see below), whose sum is σ = 2784595968. Its totient is φ = 338830848.

The previous prime is 1009793119. The next prime is 1009793221. The reversal of 1009793120 is 213979001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 43049 + ... + 62231.

It is an arithmetic number, because the mean of its divisors is an integer number (29006208).

Almost surely, 2^1009793120 is an apocalyptic number.

1009793120 is a gapful number since it is divisible by the number (10) 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 1009793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392297984).

1009793120 is an abundant number, since it is smaller than the sum of its proper divisors (1774802848).

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

1009793120 is a wasteful number, since it uses less digits than its factorization.

1009793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19252 (or 19244 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 1009793120 is about 31777.2421710884. The cubic root of 1009793120 is about 1003.2537748003.

The spelling of 1009793120 in words is "one billion, nine million, seven hundred ninety-three thousand, one hundred twenty".