1006579560 has 192 divisors, whose sum is σ = 3634502400. Its totient is φ = 222104064.

The previous prime is 1006579547. The next prime is 1006579583. The reversal of 1006579560 is 659756001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167569 + ... + 173471.

It is an arithmetic number, because the mean of its divisors is an integer number (18929700).

Almost surely, 2^1006579560 is an apocalyptic number.

1006579560 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 1006579560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817251200).

1006579560 is an abundant number, since it is smaller than the sum of its proper divisors (2627922840).

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

1006579560 is a wasteful number, since it uses less digits than its factorization.

1006579560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 1006579560 is about 31726.6380191788. The cubic root of 1006579560 is about 1002.1883941045.

The spelling of 1006579560 in words is "one billion, six million, five hundred seventy-nine thousand, five hundred sixty".