10497664 has 16 divisors (see below), whose sum is σ = 20913570. Its totient is φ = 5248768.

The previous prime is 10497661. The next prime is 10497691. The reversal of 10497664 is 46679401.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 64 = 3240^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×10497664² = 220401898913792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10497661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40879 + ... + 41134.

Almost surely, 2^10497664 is an apocalyptic number.

It is an amenable number.

10497664 is a deficient number, since it is larger than the sum of its proper divisors (10415906).

10497664 is an frugal number, since it uses more digits than its factorization.

10497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82027 (or 82015 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 10497664 is about 3240.0098765282. The cubic root of 10497664 is about 218.9597168111.

It can be divided in two parts, 104976 and 64, that multiplied together give a square (6718464 = 2592²).

The spelling of 10497664 in words is "ten million, four hundred ninety-seven thousand, six hundred sixty-four".