1121568 has 48 divisors (see below), whose sum is σ = 3366720. Its totient is φ = 320256.

The previous prime is 1121557. The next prime is 1121599. The reversal of 1121568 is 8651211.

It is a tau number, because it is divible by the number of its divisors (48).

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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (70140).

2^1121568 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 1121568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683360).

1121568 is an abundant number, since it is smaller than the sum of its proper divisors (2245152).

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

1121568 is a wasteful number, since it uses less digits than its factorization.

1121568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1681 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

The square root of 1121568 is about 1059.0410756906. The cubic root of 1121568 is about 103.8983227167.

Adding to 1121568 its reverse (8651211), we get a palindrome (9772779).

It can be divided in two parts, 112 and 1568, that multiplied together give a cube (175616 = 56³).

The spelling of 1121568 in words is "one million, one hundred twenty-one thousand, five hundred sixty-eight".