1009664 has 48 divisors (see below), whose sum is σ = 2211300. Its totient is φ = 458752.

The previous prime is 1009651. The next prime is 1009669. The reversal of 1009664 is 4669001.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 25600 = 992^2 + 160^2 .

It is not an unprimeable number, because it can be changed into a prime (1009669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34802 + ... + 34830.

2^1009664 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 1009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105650).

1009664 is an abundant number, since it is smaller than the sum of its proper divisors (1201636).

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

1009664 is an equidigital number, since it uses as much as digits as its factorization.

1009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1009664 is about 1004.8203819589. The cubic root of 1009664 is about 100.3211011701.

The spelling of 1009664 in words is "one million, nine thousand, six hundred sixty-four".