1005648 has 80 divisors (see below), whose sum is σ = 3083136. Its totient is φ = 276480.

The previous prime is 1005647. The next prime is 1005661. The reversal of 1005648 is 8465001.

It is a super-2 number, since 2×1005648² = 2022655799808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13740 + ... + 13812.

2^1005648 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 1005648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541568).

1005648 is an abundant number, since it is smaller than the sum of its proper divisors (2077488).

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

1005648 is a wasteful number, since it uses less digits than its factorization.

1005648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1005648 is about 1002.8200237331. The cubic root of 1005648 is about 100.1879133313.

It can be divided in two parts, 1005 and 648, that added together give a triangular number (1653 = T₅₇).

The spelling of 1005648 in words is "one million, five thousand, six hundred forty-eight".