1000006560 has 480 divisors, whose sum is σ = 4115688192. Its totient is φ = 223948800.

The previous prime is 1000006541. The next prime is 1000006571. The reversal of 1000006560 is 656000001.

1000006560 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6622485 + ... + 6622635.

Almost surely, 2^1000006560 is an apocalyptic number.

1000006560 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 1000006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057844096).

1000006560 is an abundant number, since it is smaller than the sum of its proper divisors (3115681632).

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

1000006560 is a wasteful number, since it uses less digits than its factorization.

1000006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

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

The square root of 1000006560 is about 31622.8803242209. The cubic root of 1000006560 is about 1000.0021866619.

Adding to 1000006560 its reverse (656000001), we get a palindrome (1656006561).

The spelling of 1000006560 in words is "one billion, six thousand, five hundred sixty".