1067089920 has 256 divisors, whose sum is σ = 3699319680. Its totient is φ = 261095424.

The previous prime is 1067089901. The next prime is 1067089931. The reversal of 1067089920 is 299807601.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×1067089920² = 2277361794731212800, which contains 22 as substring.

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, 6389677 + ... + 6389843.

Almost surely, 2^1067089920 is an apocalyptic number.

1067089920 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 1067089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849659840).

1067089920 is an abundant number, since it is smaller than the sum of its proper divisors (2632229760).

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

1067089920 is an equidigital number, since it uses as much as digits as its factorization.

1067089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1067089920 is about 32666.3423113149. The cubic root of 1067089920 is about 1021.8810349128.

The spelling of 1067089920 in words is "one billion, sixty-seven million, eighty-nine thousand, nine hundred twenty".