1006489872 has 60 divisors (see below), whose sum is σ = 2850744624. Its totient is φ = 331450560.

The previous prime is 1006489849. The next prime is 1006489877. The reversal of 1006489872 is 2789846001.

It is not an unprimeable number, because it can be changed into a prime (1006489877) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30154 + ... + 54057.

Almost surely, 2^1006489872 is an apocalyptic number.

1006489872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006489872 is an abundant number, since it is smaller than the sum of its proper divisors (1844254752).

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

1006489872 is a wasteful number, since it uses less digits than its factorization.

1006489872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84308 (or 84299 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1006489872 is about 31725.2245382125. The cubic root of 1006489872 is about 1002.1586276405.

The spelling of 1006489872 in words is "one billion, six million, four hundred eighty-nine thousand, eight hundred seventy-two".