10627264 has 28 divisors (see below), whose sum is σ = 21543264. Its totient is φ = 5199104.

The previous prime is 10627259. The next prime is 10627271. The reversal of 10627264 is 46272601.

It is a super-2 number, since 2×10627264² = 225877480251392, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1242 + ... + 4774.

Almost surely, 2^10627264 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 10627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771632).

10627264 is an abundant number, since it is smaller than the sum of its proper divisors (10916000).

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

10627264 is an equidigital number, since it uses as much as digits as its factorization.

10627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 10627264 is about 3259.9484658503. The cubic root of 10627264 is about 219.8570972792.

Adding to 10627264 its reverse (46272601), we get a palindrome (56899865).

The spelling of 10627264 in words is "ten million, six hundred twenty-seven thousand, two hundred sixty-four".