10666752 has 144 divisors (see below), whose sum is σ = 32376960. Its totient is φ = 3096576.

The previous prime is 10666741. The next prime is 10666757. The reversal of 10666752 is 25766601.

It is a super-2 number, since 2×10666752² = 227559196459008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10666757) 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 15 ways as a sum of consecutive naturals, for example, 248043 + ... + 248085.

It is an arithmetic number, because the mean of its divisors is an integer number (224840).

Almost surely, 2^10666752 is an apocalyptic number.

10666752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188480).

10666752 is an abundant number, since it is smaller than the sum of its proper divisors (21710208).

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

10666752 is a wasteful number, since it uses less digits than its factorization.

10666752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 10666752 is about 3265.9993876301. Note that the first 3 decimals coincide. The cubic root of 10666752 is about 220.1290702674.

The spelling of 10666752 in words is "ten million, six hundred sixty-six thousand, seven hundred fifty-two".