1143648 has 108 divisors (see below), whose sum is σ = 3744468. Its totient is φ = 328320.

The previous prime is 1143647. The next prime is 1143661. The reversal of 1143648 is 8463411.

1143648 is a `hidden beast` number, since 1 + 14 + 3 + 648 = 666.

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 (1143643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60183 + ... + 60201.

It is an arithmetic number, because the mean of its divisors is an integer number (34671).

2^1143648 is an apocalyptic number.

1143648 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 1143648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872234).

1143648 is an abundant number, since it is smaller than the sum of its proper divisors (2600820).

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

1143648 is a wasteful number, since it uses less digits than its factorization.

1143648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 35 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1143648 is about 1069.4147932397. The cubic root of 1143648 is about 104.5757027213.

The spelling of 1143648 in words is "one million, one hundred forty-three thousand, six hundred forty-eight".