10266320 has 40 divisors (see below), whose sum is σ = 24034920. Its totient is φ = 4078080.

The previous prime is 10266313. The next prime is 10266331. The reversal of 10266320 is 2366201.

It can be written as a sum of positive squares in 4 ways, for example, as 506944 + 9759376 = 712^2 + 3124^2 .

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 junction number, because it is equal to n+sod(n) for n = 10266292 and 10266301.

It is a congruent number.

It is an unprimeable number.

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, 14126 + ... + 14834.

It is an arithmetic number, because the mean of its divisors is an integer number (600873).

Almost surely, 2^10266320 is an apocalyptic number.

10266320 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 10266320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12017460).

10266320 is an abundant number, since it is smaller than the sum of its proper divisors (13768600).

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

10266320 is a wasteful number, since it uses less digits than its factorization.

10266320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 10266320 is about 3204.1098607882. The cubic root of 10266320 is about 217.3393008595.

The spelling of 10266320 in words is "ten million, two hundred sixty-six thousand, three hundred twenty".