10025664 has 112 divisors (see below), whose sum is σ = 29846016. Its totient is φ = 2944000.

The previous prime is 10025663. The next prime is 10025669. The reversal of 10025664 is 46652001.

It is a super-4 number, since 4×10025664⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10025663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99214 + ... + 99314.

Almost surely, 2^10025664 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 10025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923008).

10025664 is an abundant number, since it is smaller than the sum of its proper divisors (19820352).

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

10025664 is a wasteful number, since it uses less digits than its factorization.

10025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10025664 is about 3166.3328946906. The cubic root of 10025664 is about 215.6276162674.

Adding to 10025664 its reverse (46652001), we get a palindrome (56677665).

It can be divided in two parts, 1002 and 5664, that added together give a palindrome (6666).

The spelling of 10025664 in words is "ten million, twenty-five thousand, six hundred sixty-four".