10817664 has 128 divisors (see below), whose sum is σ = 33929280. Its totient is φ = 3010560.

The previous prime is 10817663. The next prime is 10817687. The reversal of 10817664 is 46671801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10817663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54814 + ... + 55010.

Almost surely, 2^10817664 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 10817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964640).

10817664 is an abundant number, since it is smaller than the sum of its proper divisors (23111616).

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

10817664 is a wasteful number, since it uses less digits than its factorization.

10817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10817664 is about 3289.0217390586. The cubic root of 10817664 is about 221.1623330422.

The spelling of 10817664 in words is "ten million, eight hundred seventeen thousand, six hundred sixty-four".