1002161664 has 120 divisors (see below), whose sum is σ = 3305599440. Its totient is φ = 286322688.

The previous prime is 1002161623. The next prime is 1002161701. The reversal of 1002161664 is 4661612001.

1002161664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16722 + ... + 47790.

It is an arithmetic number, because the mean of its divisors is an integer number (27546662).

Almost surely, 2^1002161664 is an apocalyptic number.

1002161664 is a gapful number since it is divisible by the number (14) 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 1002161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652799720).

1002161664 is an abundant number, since it is smaller than the sum of its proper divisors (2303437776).

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

1002161664 is an equidigital number, since it uses as much as digits as its factorization.

1002161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31100 (or 31081 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1002161664 is about 31656.9370596715. The cubic root of 1002161664 is about 1000.7200360903.

Adding to 1002161664 its reverse (4661612001), we get a palindrome (5663773665).

The spelling of 1002161664 in words is "one billion, two million, one hundred sixty-one thousand, six hundred sixty-four".