1004066064 has 80 divisors (see below), whose sum is σ = 2904893440. Its totient is φ = 332035200.

The previous prime is 1004066051. The next prime is 1004066069. The reversal of 1004066064 is 4606604001.

1004066064 is a `hidden beast` number, since 10 + 0 + 40 + 6 + 606 + 4 = 666.

1004066064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1004066069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45714 + ... + 64014.

It is an arithmetic number, because the mean of its divisors is an integer number (36311168).

Almost surely, 2^1004066064 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 1004066064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452446720).

1004066064 is an abundant number, since it is smaller than the sum of its proper divisors (1900827376).

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

1004066064 is a wasteful number, since it uses less digits than its factorization.

1004066064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18445 (or 18433 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1004066064 is about 31687.0014990374. The cubic root of 1004066064 is about 1001.3535218188.

The spelling of 1004066064 in words is "one billion, four million, sixty-six thousand, sixty-four".