10266624 has 72 divisors (see below), whose sum is σ = 29705130. Its totient is φ = 3416064.

The previous prime is 10266617. The next prime is 10266629. The reversal of 10266624 is 42666201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 230400 = 3168^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10266629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18154 + ... + 18710.

Almost surely, 2^10266624 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 10266624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14852565).

10266624 is an abundant number, since it is smaller than the sum of its proper divisors (19438506).

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

10266624 is an equidigital number, since it uses as much as digits as its factorization.

10266624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10266624 is about 3204.1572995095. The cubic root of 10266624 is about 217.3414460779.

The spelling of 10266624 in words is "ten million, two hundred sixty-six thousand, six hundred twenty-four".