1057668192 has 384 divisors, whose sum is σ = 3808788480. Its totient is φ = 282175488.

The previous prime is 1057668191. The next prime is 1057668211. The reversal of 1057668192 is 2918667501.

1057668192 is a `hidden beast` number, since 1 + 0 + 576 + 68 + 19 + 2 = 666.

1057668192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057668192² = 2237324008737097728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057668191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8328033 + ... + 8328159.

It is an arithmetic number, because the mean of its divisors is an integer number (9918720).

Almost surely, 2^1057668192 is an apocalyptic number.

1057668192 is a gapful number since it is divisible by the number (12) 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 1057668192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904394240).

1057668192 is an abundant number, since it is smaller than the sum of its proper divisors (2751120288).

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

1057668192 is an equidigital number, since it uses as much as digits as its factorization.

1057668192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1057668192 is about 32521.8110196834. The cubic root of 1057668192 is about 1018.8646190081.

The spelling of 1057668192 in words is "one billion, fifty-seven million, six hundred sixty-eight thousand, one hundred ninety-two".