10268064 has 72 divisors (see below), whose sum is σ = 29572452. Its totient is φ = 3379200.

The previous prime is 10268047. The next prime is 10268087. The reversal of 10268064 is 46086201.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 608400 = 3108^2 + 780^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 28912 + ... + 29264.

Almost surely, 2^10268064 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 10268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786226).

10268064 is an abundant number, since it is smaller than the sum of its proper divisors (19304388).

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

10268064 is a wasteful number, since it uses less digits than its factorization.

10268064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10268064 is about 3204.3819996998. The cubic root of 10268064 is about 217.3516070633.

The spelling of 10268064 in words is "ten million, two hundred sixty-eight thousand, sixty-four".