10668080 has 20 divisors (see below), whose sum is σ = 24803472. Its totient is φ = 4267200.

The previous prime is 10668079. The next prime is 10668083. The reversal of 10668080 is 8086601.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×10668080³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10668083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66596 + ... + 66755.

Almost surely, 2^10668080 is an apocalyptic number.

10668080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10668080 is an abundant number, since it is smaller than the sum of its proper divisors (14135392).

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

10668080 is a wasteful number, since it uses less digits than its factorization.

10668080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133364 (or 133358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 10668080 is about 3266.2026881380. The cubic root of 10668080 is about 220.1382051716.

It can be divided in two parts, 106 and 68080, that added together give a palindrome (68186).

The spelling of 10668080 in words is "ten million, six hundred sixty-eight thousand, eighty".