10027264 has 72 divisors (see below), whose sum is σ = 22663872. Its totient is φ = 4392960.

The previous prime is 10027249. The next prime is 10027319. The reversal of 10027264 is 46272001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76479 + ... + 76609.

It is an arithmetic number, because the mean of its divisors is an integer number (314776).

Almost surely, 2^10027264 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 10027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11331936).

10027264 is an abundant number, since it is smaller than the sum of its proper divisors (12636608).

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

10027264 is a wasteful number, since it uses less digits than its factorization.

10027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 10027264 is about 3166.5855428205. The cubic root of 10027264 is about 215.6390863583.

Adding to 10027264 its reverse (46272001), we get a palindrome (56299265).

The spelling of 10027264 in words is "ten million, twenty-seven thousand, two hundred sixty-four".