1006644090 has 64 divisors (see below), whose sum is σ = 2508226560. Its totient is φ = 258285120.

The previous prime is 1006644049. The next prime is 1006644091. The reversal of 1006644090 is 904466001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1006644091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163447 + ... + 169493.

It is an arithmetic number, because the mean of its divisors is an integer number (39191040).

Almost surely, 2^1006644090 is an apocalyptic number.

1006644090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006644090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254113280).

1006644090 is an abundant number, since it is smaller than the sum of its proper divisors (1501582470).

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

1006644090 is a wasteful number, since it uses less digits than its factorization.

1006644090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1006644090 is about 31727.6549716489. The cubic root of 1006644090 is about 1002.2098098102.

The spelling of 1006644090 in words is "one billion, six million, six hundred forty-four thousand, ninety".