1006516064 has 48 divisors (see below), whose sum is σ = 2075619168. Its totient is φ = 479542272.

The previous prime is 1006516061. The next prime is 1006516081. The reversal of 1006516064 is 4606156001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006516061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201404 + ... + 206340.

It is an arithmetic number, because the mean of its divisors is an integer number (43242066).

Almost surely, 2^1006516064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037809584).

1006516064 is an abundant number, since it is smaller than the sum of its proper divisors (1069103104).

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

1006516064 is a wasteful number, since it uses less digits than its factorization.

1006516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1006516064 is about 31725.6373300837. The cubic root of 1006516064 is about 1002.1673206610.

The spelling of 1006516064 in words is "one billion, six million, five hundred sixteen thousand, sixty-four".