10066160 has 40 divisors (see below), whose sum is σ = 25206720. Its totient is φ = 3716352.

The previous prime is 10066141. The next prime is 10066163. The reversal of 10066160 is 6166001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066163) 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 7 ways as a sum of consecutive naturals, for example, 3800 + ... + 5879.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 2^10066160 is an apocalyptic number.

10066160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10066160 is an abundant number, since it is smaller than the sum of its proper divisors (15140560).

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

10066160 is a wasteful number, since it uses less digits than its factorization.

10066160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9705 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10066160 is about 3172.7212294811. The cubic root of 10066160 is about 215.9175496929.

It can be divided in two parts, 1006 and 6160, that multiplied together give a triangular number (6196960 = T₃₅₂₀).

The spelling of 10066160 in words is "ten million, sixty-six thousand, one hundred sixty".