1131648 has 64 divisors (see below), whose sum is σ = 3443520. Its totient is φ = 322560.

The previous prime is 1131643. The next prime is 1131653. The reversal of 1131648 is 8461311.

It is an interprime number because it is at equal distance from previous prime (1131643) and next prime (1131653).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1131643) by changing a digit.

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, 2478 + ... + 2898.

It is an arithmetic number, because the mean of its divisors is an integer number (53805).

2^1131648 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 1131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721760).

1131648 is an abundant number, since it is smaller than the sum of its proper divisors (2311872).

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

1131648 is an equidigital number, since it uses as much as digits as its factorization.

1131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 1131648 is about 1063.7894528524. The cubic root of 1131648 is about 104.2086540779.

Adding to 1131648 its reverse (8461311), we get a palindrome (9592959).

The spelling of 1131648 in words is "one million, one hundred thirty-one thousand, six hundred forty-eight".