1263168 has 112 divisors (see below), whose sum is σ = 4023360. Its totient is φ = 387072.

The previous prime is 1263133. The next prime is 1263173. The reversal of 1263168 is 8613621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29355 + ... + 29397.

2^1263168 is an apocalyptic number.

1263168 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 1263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011680).

1263168 is an abundant number, since it is smaller than the sum of its proper divisors (2760192).

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

1263168 is a wasteful number, since it uses less digits than its factorization.

1263168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1263168 is about 1123.9074695009. The cubic root of 1263168 is about 108.0986752490.

Adding to 1263168 its reverse (8613621), we get a palindrome (9876789).

It can be divided in two parts, 1263 and 168, that added together give a triangular number (1431 = T₅₃).

The spelling of 1263168 in words is "one million, two hundred sixty-three thousand, one hundred sixty-eight".