1006318080 has 400 divisors, whose sum is σ = 3778847424. Its totient is φ = 255467520.

The previous prime is 1006318069. The next prime is 1006318087. The reversal of 1006318080 is 808136001.

1006318080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1006318087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4769175 + ... + 4769385.

Almost surely, 2^1006318080 is an apocalyptic number.

1006318080 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 1006318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889423712).

1006318080 is an abundant number, since it is smaller than the sum of its proper divisors (2772529344).

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

1006318080 is an equidigital number, since it uses as much as digits as its factorization.

1006318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1006318080 is about 31722.5169241030. The cubic root of 1006318080 is about 1002.1016068213.

The spelling of 1006318080 in words is "one billion, six million, three hundred eighteen thousand, eighty".