1005640 has 32 divisors (see below), whose sum is σ = 2338560. Its totient is φ = 388800.

The previous prime is 1005637. The next prime is 1005643. The reversal of 1005640 is 465001.

It is an interprime number because it is at equal distance from previous prime (1005637) and next prime (1005643).

It is a super-2 number, since 2×1005640² = 2022623619200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 835 + ... + 1645.

It is an arithmetic number, because the mean of its divisors is an integer number (73080).

2^1005640 is an apocalyptic number.

1005640 is a gapful number since it is divisible by the number (10) 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 1005640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169280).

1005640 is an abundant number, since it is smaller than the sum of its proper divisors (1332920).

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

1005640 is a wasteful number, since it uses less digits than its factorization.

1005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1005640 is about 1002.8160349735. The cubic root of 1005640 is about 100.1876476633.

The spelling of 1005640 in words is "one million, five thousand, six hundred forty".