10291264 has 21 divisors (see below), whose sum is σ = 20472781. Its totient is φ = 5132800.

The previous prime is 10291243. The next prime is 10291277. The reversal of 10291264 is 46219201.

The square root of 10291264 is 3208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 102400 = 3192^2 + 320^2 .

It is a super-2 number, since 2×10291264² = 211820229435392, which contains 22 as substring.

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 25464 + ... + 25864.

Almost surely, 2^10291264 is an apocalyptic number.

10291264 is the 3208-th square number.

It is an amenable number.

10291264 is a deficient number, since it is larger than the sum of its proper divisors (10181517).

10291264 is an frugal number, since it uses more digits than its factorization.

10291264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 10291264 is about 217.5151810428.

Multiplying 10291264 by its sum of digits (25), we get a square (257281600 = 16040²).

The spelling of 10291264 in words is "ten million, two hundred ninety-one thousand, two hundred sixty-four".