1056657168 has 360 divisors, whose sum is σ = 3810613248. Its totient is φ = 271079424.

The previous prime is 1056657157. The next prime is 1056657187. The reversal of 1056657168 is 8617566501.

1056657168 is a `hidden beast` number, since 10 + 5 + 6 + 6 + 571 + 68 = 666.

It is a super-2 number, since 2×1056657168² = 2233048741371560448, 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 71 ways as a sum of consecutive naturals, for example, 2758705 + ... + 2759087.

Almost surely, 2^1056657168 is an apocalyptic number.

1056657168 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 1056657168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905306624).

1056657168 is an abundant number, since it is smaller than the sum of its proper divisors (2753956080).

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

1056657168 is a wasteful number, since it uses less digits than its factorization.

1056657168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1056657168 is about 32506.2635195127. The cubic root of 1056657168 is about 1018.5398716102.

The spelling of 1056657168 in words is "one billion, fifty-six million, six hundred fifty-seven thousand, one hundred sixty-eight".