1075441920 has 144 divisors (see below), whose sum is σ = 3925461120. Its totient is φ = 245809152.

The previous prime is 1075441907. The next prime is 1075441949. The reversal of 1075441920 is 291445701.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6876 + ... + 46884.

Almost surely, 2^1075441920 is an apocalyptic number.

1075441920 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 1075441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962730560).

1075441920 is an abundant number, since it is smaller than the sum of its proper divisors (2850019200).

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

1075441920 is an equidigital number, since it uses as much as digits as its factorization.

1075441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40040 (or 40026 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1075441920 is about 32793.9311458690. The cubic root of 1075441920 is about 1024.5401609780.

The spelling of 1075441920 in words is "one billion, seventy-five million, four hundred forty-one thousand, nine hundred twenty".