1068561920 has 160 divisors (see below), whose sum is σ = 2672828928. Its totient is φ = 409427968.

The previous prime is 1068561913. The next prime is 1068561953. The reversal of 1068561920 is 291658601.

1068561920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1068561920² = 2283649153748172800, which contains 22 as substring.

It is a congruent 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, 9986507 + ... + 9986613.

Almost surely, 2^1068561920 is an apocalyptic number.

1068561920 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 1068561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336414464).

1068561920 is an abundant number, since it is smaller than the sum of its proper divisors (1604267008).

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

1068561920 is an equidigital number, since it uses as much as digits as its factorization.

1068561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 1068561920 is about 32688.8653825733. The cubic root of 1068561920 is about 1022.3506978478.

The spelling of 1068561920 in words is "one billion, sixty-eight million, five hundred sixty-one thousand, nine hundred twenty".