1006490320 has 160 divisors (see below), whose sum is σ = 2632331520. Its totient is φ = 354816000.

The previous prime is 1006490297. The next prime is 1006490323. The reversal of 1006490320 is 230946001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006490323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5560630 + ... + 5560810.

It is an arithmetic number, because the mean of its divisors is an integer number (16452072).

Almost surely, 2^1006490320 is an apocalyptic number.

1006490320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316165760).

1006490320 is an abundant number, since it is smaller than the sum of its proper divisors (1625841200).

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

1006490320 is a wasteful number, since it uses less digits than its factorization.

1006490320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1006490320 is about 31725.2315988394. The cubic root of 1006490320 is about 1002.1587763312.

The spelling of 1006490320 in words is "one billion, six million, four hundred ninety thousand, three hundred twenty".