1005534660 has 192 divisors, whose sum is σ = 3132186624. Its totient is φ = 239500800.

The previous prime is 1005534659. The next prime is 1005534671. The reversal of 1005534660 is 664355001.

It is a super-2 number, since 2×1005534660² = 2022199904922631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3710325 + ... + 3710595.

It is an arithmetic number, because the mean of its divisors is an integer number (16313472).

Almost surely, 2^1005534660 is an apocalyptic number.

1005534660 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 1005534660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566093312).

1005534660 is an abundant number, since it is smaller than the sum of its proper divisors (2126651964).

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

1005534660 is a wasteful number, since it uses less digits than its factorization.

1005534660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1005534660 is about 31710.1665085505. The cubic root of 1005534660 is about 1001.8414934868.

Adding to 1005534660 its reverse (664355001), we get a palindrome (1669889661).

The spelling of 1005534660 in words is "one billion, five million, five hundred thirty-four thousand, six hundred sixty".