10065664 has 72 divisors (see below), whose sum is σ = 23694048. Its totient is φ = 4177920.

The previous prime is 10065631. The next prime is 10065667. The reversal of 10065664 is 46656001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10065667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73404 + ... + 73540.

It is an arithmetic number, because the mean of its divisors is an integer number (329084).

Almost surely, 2^10065664 is an apocalyptic number.

10065664 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 10065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847024).

10065664 is an abundant number, since it is smaller than the sum of its proper divisors (13628384).

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

10065664 is an equidigital number, since it uses as much as digits as its factorization.

10065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 10065664 is about 3172.6430621802. The cubic root of 10065664 is about 215.9140032607.

It can be divided in two parts, 1006 and 5664, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 10065664 in words is "ten million, sixty-five thousand, six hundred sixty-four".