10017664 has 32 divisors (see below), whose sum is σ = 20300040. Its totient is φ = 4922880.

The previous prime is 10017659. The next prime is 10017671. The reversal of 10017664 is 46671001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7167 + ... + 8449.

Almost surely, 2^10017664 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 10017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150020).

10017664 is an abundant number, since it is smaller than the sum of its proper divisors (10282376).

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

10017664 is an equidigital number, since it uses as much as digits as its factorization.

10017664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10017664 is about 3165.0693515309. The cubic root of 10017664 is about 215.5702474998.

Adding to 10017664 its reverse (46671001), we get a palindrome (56688665).

The spelling of 10017664 in words is "ten million, seventeen thousand, six hundred sixty-four".