1001648688 has 160 divisors (see below), whose sum is σ = 2856960000. Its totient is φ = 301190400.

The previous prime is 1001648671. The next prime is 1001648693. The reversal of 1001648688 is 8868461001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2007063 + ... + 2007561.

It is an arithmetic number, because the mean of its divisors is an integer number (17856000).

Almost surely, 2^1001648688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001648688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428480000).

1001648688 is an abundant number, since it is smaller than the sum of its proper divisors (1855311312).

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

1001648688 is a wasteful number, since it uses less digits than its factorization.

1001648688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1001648688 is about 31648.8339121681. The cubic root of 1001648688 is about 1000.5492609239.

The spelling of 1001648688 in words is "one billion, one million, six hundred forty-eight thousand, six hundred eighty-eight".