1009009920 has 144 divisors (see below), whose sum is σ = 3249469440. Its totient is φ = 266821632.

The previous prime is 1009009907. The next prime is 1009009927. The reversal of 1009009920 is 299009001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009009927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486646 + ... + 488714.

It is an arithmetic number, because the mean of its divisors is an integer number (22565760).

Almost surely, 2^1009009920 is an apocalyptic number.

1009009920 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 1009009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624734720).

1009009920 is an abundant number, since it is smaller than the sum of its proper divisors (2240459520).

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

1009009920 is a wasteful number, since it uses less digits than its factorization.

1009009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 1009009920 is about 31764.9164960338. The cubic root of 1009009920 is about 1002.9943316953.

The spelling of 1009009920 in words is "one billion, nine million, nine thousand, nine hundred twenty".