10166912 has 48 divisors (see below), whose sum is σ = 23575770. Its totient is φ = 4354560.

The previous prime is 10166911. The next prime is 10166917. The reversal of 10166912 is 21966101.

It can be written as a sum of positive squares in only one way, i.e., 7529536 + 2637376 = 2744^2 + 1624^2 .

It is not an unprimeable number, because it can be changed into a prime (10166911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5462 + ... + 7082.

Almost surely, 2^10166912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787885).

10166912 is an abundant number, since it is smaller than the sum of its proper divisors (13408858).

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

10166912 is an equidigital number, since it uses as much as digits as its factorization.

10166912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 10166912 is about 3188.5595493890. The cubic root of 10166912 is about 216.6355310947.

The spelling of 10166912 in words is "ten million, one hundred sixty-six thousand, nine hundred twelve".