10664456 has 48 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 4627040.

The previous prime is 10664449. The next prime is 10664461. The reversal of 10664456 is 65446601.

It is a super-3 number, since 3×10664456³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22025 + ... + 22503.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^10664456 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 10664456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

10664456 is an abundant number, since it is smaller than the sum of its proper divisors (12317944).

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

10664456 is a wasteful number, since it uses less digits than its factorization.

10664456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 10664456 is about 3265.6478683410. The cubic root of 10664456 is about 220.1132749996.

It can be divided in two parts, 10 and 664456, that added together give a palindrome (664466).

The spelling of 10664456 in words is "ten million, six hundred sixty-four thousand, four hundred fifty-six".