1006580736 has 264 divisors, whose sum is σ = 3472367040. Its totient is φ = 287207424.

The previous prime is 1006580713. The next prime is 1006580741. The reversal of 1006580736 is 6370856001.

1006580736 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 580 + 73 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1006580736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354381 + ... + 1355123.

Almost surely, 2^1006580736 is an apocalyptic number.

1006580736 is a gapful number since it is divisible by the number (16) 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 1006580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736183520).

1006580736 is an abundant number, since it is smaller than the sum of its proper divisors (2465786304).

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

1006580736 is an equidigital number, since it uses as much as digits as its factorization.

1006580736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1006580736 is about 31726.6565524954. The cubic root of 1006580736 is about 1002.1887843942.

The spelling of 1006580736 in words is "one billion, six million, five hundred eighty thousand, seven hundred thirty-six".