1006446084 has 36 divisors (see below), whose sum is σ = 2731783824. Its totient is φ = 287555856.

The previous prime is 1006446079. The next prime is 1006446107. The reversal of 1006446084 is 4806446001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 855234 + ... + 856409.

It is an arithmetic number, because the mean of its divisors is an integer number (75882884).

Almost surely, 2^1006446084 is an apocalyptic number.

1006446084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006446084 is an abundant number, since it is smaller than the sum of its proper divisors (1725337740).

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

1006446084 is a wasteful number, since it uses less digits than its factorization.

1006446084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711664 (or 1711655 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1006446084 is about 31724.5344173874. The cubic root of 1006446084 is about 1002.1440942410.

The spelling of 1006446084 in words is "one billion, six million, four hundred forty-six thousand, eighty-four".