10217664 has 112 divisors (see below), whose sum is σ = 30825440. Its totient is φ = 3359232.

The previous prime is 10217653. The next prime is 10217671. The reversal of 10217664 is 46671201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 139932 + ... + 140004.

Almost surely, 2^10217664 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 10217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15412720).

10217664 is an abundant number, since it is smaller than the sum of its proper divisors (20607776).

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

10217664 is an frugal number, since it uses more digits than its factorization.

10217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10217664 is about 3196.5080947809. The cubic root of 10217664 is about 216.9954057654.

Adding to 10217664 its reverse (46671201), we get a palindrome (56888865).

It can be divided in two parts, 102 and 17664, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 10217664 in words is "ten million, two hundred seventeen thousand, six hundred sixty-four".