10266564 has 96 divisors (see below), whose sum is σ = 30707712. Its totient is φ = 2592000.

The previous prime is 10266541. The next prime is 10266583. The reversal of 10266564 is 46566201.

10266564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37749 + ... + 38019.

It is an arithmetic number, because the mean of its divisors is an integer number (319872).

Almost surely, 2^10266564 is an apocalyptic number.

10266564 is a gapful number since it is divisible by the number (14) 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 10266564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353856).

10266564 is an abundant number, since it is smaller than the sum of its proper divisors (20441148).

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

10266564 is a wasteful number, since it uses less digits than its factorization.

10266564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 10266564 is about 3204.1479366596. The cubic root of 10266564 is about 217.3410226828.

It can be divided in two parts, 102 and 66564, that added together give a palindrome (66666).

The spelling of 10266564 in words is "ten million, two hundred sixty-six thousand, five hundred sixty-four".