10066560 has 192 divisors, whose sum is σ = 37674720. Its totient is φ = 2279424.

The previous prime is 10066559. The next prime is 10066577. The reversal of 10066560 is 6566001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10066560.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94027 + ... + 94133.

Almost surely, 2^10066560 is an apocalyptic number.

10066560 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 10066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837360).

10066560 is an abundant number, since it is smaller than the sum of its proper divisors (27608160).

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

10066560 is a wasteful number, since it uses less digits than its factorization.

10066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 10066560 is about 3172.7842662242. The cubic root of 10066560 is about 215.9204096341.

The spelling of 10066560 in words is "ten million, sixty-six thousand, five hundred sixty".