10066960 has 80 divisors (see below), whose sum is σ = 25444800. Its totient is φ = 3691008.

The previous prime is 10066949. The next prime is 10066961. The reversal of 10066960 is 6966001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10066961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56151 + ... + 56329.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 2^10066960 is an apocalyptic number.

10066960 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 10066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722400).

10066960 is an abundant number, since it is smaller than the sum of its proper divisors (15377840).

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

10066960 is a wasteful number, since it uses less digits than its factorization.

10066960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 10066960 is about 3172.8473017150. The cubic root of 10066960 is about 215.9232694995.

It can be divided in two parts, 10066 and 960, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10066960 in words is "ten million, sixty-six thousand, nine hundred sixty".