10066176 has 108 divisors (see below), whose sum is σ = 30850092. Its totient is φ = 3145728.

The previous prime is 10066169. The next prime is 10066187. The reversal of 10066176 is 67166001.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 921600 = 3024^2 + 960^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39040 + ... + 39296.

It is an arithmetic number, because the mean of its divisors is an integer number (285649).

Almost surely, 2^10066176 is an apocalyptic number.

10066176 is a gapful number since it is divisible by the number (16) 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 10066176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425046).

10066176 is an abundant number, since it is smaller than the sum of its proper divisors (20783916).

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

10066176 is a wasteful number, since it uses less digits than its factorization.

10066176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10066176 is about 3172.7237509749. The cubic root of 10066176 is about 215.9176640920.

The spelling of 10066176 in words is "ten million, sixty-six thousand, one hundred seventy-six".