1006648320 has 88 divisors (see below), whose sum is σ = 3219750864. Its totient is φ = 268435456.

The previous prime is 1006648289. The next prime is 1006648339. The reversal of 1006648320 is 238466001.

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

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 1006648320 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17409 + ... + 48128.

It is an arithmetic number, because the mean of its divisors is an integer number (36588078).

Almost surely, 2^1006648320 is an apocalyptic number.

1006648320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006648320 is an abundant number, since it is smaller than the sum of its proper divisors (2213102544).

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

1006648320 is an equidigital number, since it uses as much as digits as its factorization.

1006648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65565 (or 65547 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1006648320 is about 31727.7216326669. The cubic root of 1006648320 is about 1002.2112135972.

The spelling of 1006648320 in words is "one billion, six million, six hundred forty-eight thousand, three hundred twenty".