1057627368 has 168 divisors, whose sum is σ = 3459574530. Its totient is φ = 302097600.

The previous prime is 1057627357. The next prime is 1057627387. The reversal of 1057627368 is 8637267501.

1057627368 is a `hidden beast` number, since 1 + 0 + 576 + 2 + 73 + 6 + 8 = 666.

1057627368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 937461924 + 120165444 = 30618^2 + 10962^2 .

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1057627368² = 2237151299085214848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 283918 + ... + 287618.

Almost surely, 2^1057627368 is an apocalyptic number.

1057627368 is a gapful number since it is divisible by the number (18) 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 1057627368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729787265).

1057627368 is an abundant number, since it is smaller than the sum of its proper divisors (2401947162).

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

1057627368 is an equidigital number, since it uses as much as digits as its factorization.

1057627368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1057627368 is about 32521.1833733030. The cubic root of 1057627368 is about 1018.8515100878.

The spelling of 1057627368 in words is "one billion, fifty-seven million, six hundred twenty-seven thousand, three hundred sixty-eight".