10211664 has 40 divisors (see below), whose sum is σ = 27771040. Its totient is φ = 3224448.

The previous prime is 10211659. The next prime is 10211687. The reversal of 10211664 is 46611201.

It is a self number, because there is not a number n which added to its sum of digits gives 10211664.

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 7 ways as a sum of consecutive naturals, for example, 4687 + ... + 6510.

It is an arithmetic number, because the mean of its divisors is an integer number (694276).

Almost surely, 2^10211664 is an apocalyptic number.

It is an amenable number.

10211664 is an abundant number, since it is smaller than the sum of its proper divisors (17559376).

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

10211664 is a wasteful number, since it uses less digits than its factorization.

10211664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227 (or 11221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10211664 is about 3195.5694328241. The cubic root of 10211664 is about 216.9529228859.

Adding to 10211664 its reverse (46611201), we get a palindrome (56822865).

The spelling of 10211664 in words is "ten million, two hundred eleven thousand, six hundred sixty-four".