10081664 has 32 divisors (see below), whose sum is σ = 20359200. Its totient is φ = 4972032.

The previous prime is 10081661. The next prime is 10081679. The reversal of 10081664 is 46618001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10081661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9614 + ... + 10610.

It is an arithmetic number, because the mean of its divisors is an integer number (636225).

Almost surely, 2^10081664 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 10081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179600).

10081664 is an abundant number, since it is smaller than the sum of its proper divisors (10277536).

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

10081664 is an frugal number, since it uses more digits than its factorization.

10081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10081664 is about 3175.1636178314. The cubic root of 10081664 is about 216.0283456170.

Adding to 10081664 its reverse (46618001), we get a palindrome (56699665).

The spelling of 10081664 in words is "ten million, eighty-one thousand, six hundred sixty-four".