10266912 has 120 divisors (see below), whose sum is σ = 32108076. Its totient is φ = 3207168.

The previous prime is 10266889. The next prime is 10266913. The reversal of 10266912 is 21966201.

It can be written as a sum of positive squares in 2 ways, for example, as 10265616 + 1296 = 3204^2 + 36^2 .

It is a super-4 number, since 4×10266912⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10266913) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43948 + ... + 44180.

Almost surely, 2^10266912 is an apocalyptic number.

10266912 is a gapful number since it is divisible by the number (12) 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 10266912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16054038).

10266912 is an abundant number, since it is smaller than the sum of its proper divisors (21841164).

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

10266912 is a wasteful number, since it uses less digits than its factorization.

10266912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10266912 is about 3204.2022408082. The cubic root of 10266912 is about 217.3434783510.

Subtracting from 10266912 its product of nonzero digits (1296), we obtain a square (10265616 = 3204²).

The spelling of 10266912 in words is "ten million, two hundred sixty-six thousand, nine hundred twelve".