1116648 has 48 divisors (see below), whose sum is σ = 3259620. Its totient is φ = 343296.

The previous prime is 1116641. The next prime is 1116653. The reversal of 1116648 is 8466111.

1116648 is a `hidden beast` number, since 1 + 1 + 16 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1077444 + 39204 = 1038^2 + 198^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116641) 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, 340 + ... + 1532.

2^1116648 is an apocalyptic number.

1116648 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 1116648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629810).

1116648 is an abundant number, since it is smaller than the sum of its proper divisors (2142972).

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

1116648 is a wasteful number, since it uses less digits than its factorization.

1116648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1211 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1116648 is about 1056.7156665821. The cubic root of 1116648 is about 103.7461758885.

It can be divided in two parts, 1116 and 648, that added together give a square (1764 = 42²).

The spelling of 1116648 in words is "one million, one hundred sixteen thousand, six hundred forty-eight".