1057287168 has 264 divisors, whose sum is σ = 3624205312. Its totient is φ = 301584384.

The previous prime is 1057287157. The next prime is 1057287181. The reversal of 1057287168 is 8617827501.

It is a happy number.

1057287168 is a `hidden beast` number, since 1 + 0 + 572 + 8 + 71 + 6 + 8 = 666.

It is a super-2 number, since 2×1057287168² = 2235712311234920448, 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 23 ways as a sum of consecutive naturals, for example, 1741521 + ... + 1742127.

Almost surely, 2^1057287168 is an apocalyptic number.

1057287168 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 1057287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812102656).

1057287168 is an abundant number, since it is smaller than the sum of its proper divisors (2566918144).

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

1057287168 is an frugal number, since it uses more digits than its factorization.

1057287168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 1057287168 is about 32515.9525156499. The cubic root of 1057287168 is about 1018.7422559638.

It can be divided in two parts, 105728 and 7168, that added together give a square (112896 = 336²).

The spelling of 1057287168 in words is "one billion, fifty-seven million, two hundred eighty-seven thousand, one hundred sixty-eight".