10668528 has 120 divisors (see below), whose sum is σ = 33174960. Its totient is φ = 3179520.

The previous prime is 10668521. The next prime is 10668533. The reversal of 10668528 is 82586601.

It is a happy number.

It is a super-2 number, since 2×10668528² = 227634979373568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10668492 and 10668501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10668521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76683 + ... + 76821.

It is an arithmetic number, because the mean of its divisors is an integer number (276458).

Almost surely, 2^10668528 is an apocalyptic number.

10668528 is a gapful number since it is divisible by the number (18) 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 10668528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587480).

10668528 is an abundant number, since it is smaller than the sum of its proper divisors (22506432).

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

10668528 is a wasteful number, since it uses less digits than its factorization.

10668528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 10668528 is about 3266.2712685875. The cubic root of 10668528 is about 220.1412866550.

The spelling of 10668528 in words is "ten million, six hundred sixty-eight thousand, five hundred twenty-eight".