1002646128 has 160 divisors (see below), whose sum is σ = 3073731840. Its totient is φ = 278138880.

The previous prime is 1002646079. The next prime is 1002646147. The reversal of 1002646128 is 8216462001.

1002646128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1002646095 and 1002646104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330603 + ... + 333621.

It is an arithmetic number, because the mean of its divisors is an integer number (19210824).

Almost surely, 2^1002646128 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 1002646128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536865920).

1002646128 is an abundant number, since it is smaller than the sum of its proper divisors (2071085712).

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

1002646128 is a wasteful number, since it uses less digits than its factorization.

1002646128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1002646128 is about 31664.5879177355. The cubic root of 1002646128 is about 1000.8812658091.

The spelling of 1002646128 in words is "one billion, two million, six hundred forty-six thousand, one hundred twenty-eight".