1005684660 has 168 divisors, whose sum is σ = 3305232000. Its totient is φ = 256436928.

The previous prime is 1005684607. The next prime is 1005684697. The reversal of 1005684660 is 664865001.

It is a super-2 number, since 2×1005684660² = 2022803270718631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 333841 + ... + 336839.

It is an arithmetic number, because the mean of its divisors is an integer number (19674000).

Almost surely, 2^1005684660 is an apocalyptic number.

1005684660 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 1005684660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652616000).

1005684660 is an abundant number, since it is smaller than the sum of its proper divisors (2299547340).

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

1005684660 is a wasteful number, since it uses less digits than its factorization.

1005684660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1005684660 is about 31712.5315924163. The cubic root of 1005684660 is about 1001.8913073680.

The spelling of 1005684660 in words is "one billion, five million, six hundred eighty-four thousand, six hundred sixty".