10769664 has 72 divisors (see below), whose sum is σ = 29515360. Its totient is φ = 3483648.

The previous prime is 10769659. The next prime is 10769669. The reversal of 10769664 is 46696701.

It is an interprime number because it is at equal distance from previous prime (10769659) and next prime (10769669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10769669) 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 in 7 ways as a sum of consecutive naturals, for example, 28227 + ... + 28605.

Almost surely, 2^10769664 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 10769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757680).

10769664 is an abundant number, since it is smaller than the sum of its proper divisors (18745696).

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

10769664 is an equidigital number, since it uses as much as digits as its factorization.

10769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 10769664 is about 3281.7166239637. The cubic root of 10769664 is about 220.8347351361.

The spelling of 10769664 in words is "ten million, seven hundred sixty-nine thousand, six hundred sixty-four".