1071168 has 56 divisors (see below), whose sum is σ = 3243072. Its totient is φ = 305664.

The previous prime is 1071157. The next prime is 1071181. The reversal of 1071168 is 8611701.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1071168² = 2294801768448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 946 + ... + 1742.

It is an arithmetic number, because the mean of its divisors is an integer number (57912).

2^1071168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621536).

1071168 is an abundant number, since it is smaller than the sum of its proper divisors (2171904).

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

1071168 is an equidigital number, since it uses as much as digits as its factorization.

1071168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 1071168 is about 1034.9724634018. The cubic root of 1071168 is about 102.3181148758.

Adding to 1071168 its reverse (8611701), we get a palindrome (9682869).

It can be divided in two parts, 107 and 1168, that added together give a triangular number (1275 = T₅₀).

The spelling of 1071168 in words is "one million, seventy-one thousand, one hundred sixty-eight".