1131768 has 48 divisors (see below), whose sum is σ = 3346200. Its totient is φ = 342720.

The previous prime is 1131763. The next prime is 1131769. The reversal of 1131768 is 8671311.

1131768 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78 + ... + 1506.

2^1131768 is an apocalyptic number.

1131768 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 1131768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673100).

1131768 is an abundant number, since it is smaller than the sum of its proper divisors (2214432).

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

1131768 is a wasteful number, since it uses less digits than its factorization.

1131768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1445 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 1131768 is about 1063.8458534957. The cubic root of 1131768 is about 104.2123373777.

It can be divided in two parts, 113 and 1768, that added together give a palindrome (1881).

The spelling of 1131768 in words is "one million, one hundred thirty-one thousand, seven hundred sixty-eight".