10668960 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 2741760.

The previous prime is 10668947. The next prime is 10668967. The reversal of 10668960 is 6986601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10668960² = 227653414963200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10668967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44521 + ... + 44759.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^10668960 is an apocalyptic number.

10668960 is a gapful number since it is divisible by the number (10) 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 10668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

10668960 is an abundant number, since it is smaller than the sum of its proper divisors (27070560).

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

10668960 is a wasteful number, since it uses less digits than its factorization.

10668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 10668960 is about 3266.3373983715. The cubic root of 10668960 is about 220.1442580038.

It can be divided in two parts, 10668 and 960, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 10668960 in words is "ten million, six hundred sixty-eight thousand, nine hundred sixty".