1122768 has 80 divisors (see below), whose sum is σ = 3392640. Its totient is φ = 354816.

The previous prime is 1122761. The next prime is 1122811. The reversal of 1122768 is 8672211.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122761) by changing a digit.

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, 9880 + ... + 9992.

It is an arithmetic number, because the mean of its divisors is an integer number (42408).

2^1122768 is an apocalyptic number.

1122768 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 1122768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696320).

1122768 is an abundant number, since it is smaller than the sum of its proper divisors (2269872).

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

1122768 is a wasteful number, since it uses less digits than its factorization.

1122768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1122768 is about 1059.6074744923. The cubic root of 1122768 is about 103.9353641765.

Adding to 1122768 its reverse (8672211), we get a palindrome (9794979).

The spelling of 1122768 in words is "one million, one hundred twenty-two thousand, seven hundred sixty-eight".