1005660 has 72 divisors (see below), whose sum is σ = 3153696. Its totient is φ = 259200.

The previous prime is 1005647. The next prime is 1005661. The reversal of 1005660 is 665001.

1005660 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 660 = 666.

It is a super-2 number, since 2×1005660² = 2022704071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6585 + ... + 6735.

2^1005660 is an apocalyptic number.

1005660 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 1005660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576848).

1005660 is an abundant number, since it is smaller than the sum of its proper divisors (2148036).

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

1005660 is a wasteful number, since it uses less digits than its factorization.

1005660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1005660 is about 1002.8260068427. The cubic root of 1005660 is about 100.1883118306.

The spelling of 1005660 in words is "one million, five thousand, six hundred sixty".