1006544032 has 48 divisors (see below), whose sum is σ = 2226873600. Its totient is φ = 444356352.

The previous prime is 1006544027. The next prime is 1006544051. The reversal of 1006544032 is 2304456001.

It is a junction number, because it is equal to n+sod(n) for n = 1006543988 and 1006544006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43032 + ... + 62167.

It is an arithmetic number, because the mean of its divisors is an integer number (46393200).

Almost surely, 2^1006544032 is an apocalyptic number.

It is an amenable number.

1006544032 is an abundant number, since it is smaller than the sum of its proper divisors (1220329568).

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

1006544032 is a wasteful number, since it uses less digits than its factorization.

1006544032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105245 (or 105237 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1006544032 is about 31726.0781061889. The cubic root of 1006544032 is about 1002.1766029623.

The spelling of 1006544032 in words is "one billion, six million, five hundred forty-four thousand, thirty-two".