10001664 has 72 divisors (see below), whose sum is σ = 29597120. Its totient is φ = 3331584.

The previous prime is 10001659. The next prime is 10001687. The reversal of 10001664 is 46610001.

10001664 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 664 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6189 + ... + 7635.

Almost surely, 2^10001664 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 10001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798560).

10001664 is an abundant number, since it is smaller than the sum of its proper divisors (19595456).

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

10001664 is an equidigital number, since it uses as much as digits as its factorization.

10001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10001664 is about 3162.5407507256. The cubic root of 10001664 is about 215.4554182715.

Adding to 10001664 its reverse (46610001), we get a palindrome (56611665).

The spelling of 10001664 in words is "ten million, one thousand, six hundred sixty-four".