11507264 has 14 divisors (see below), whose sum is σ = 22834854. Its totient is φ = 5753600.

The previous prime is 11507261. The next prime is 11507267. The reversal of 11507264 is 46270511.

It is an interprime number because it is at equal distance from previous prime (11507261) and next prime (11507267).

It can be written as a sum of positive squares in only one way, i.e., 11505664 + 1600 = 3392^2 + 40^2 .

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (11507261) by changing a digit.

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 as a sum of consecutive naturals, namely, 89837 + ... + 89964.

It is an arithmetic number, because the mean of its divisors is an integer number (1631061).

Almost surely, 2^11507264 is an apocalyptic number.

It is an amenable number.

11507264 is a deficient number, since it is larger than the sum of its proper divisors (11327590).

11507264 is an equidigital number, since it uses as much as digits as its factorization.

11507264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179813 (or 179803 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 11507264 is about 3392.2358408578. The cubic root of 11507264 is about 225.7653868322.

Adding to 11507264 its reverse (46270511), we get a palindrome (57777775).

The spelling of 11507264 in words is "eleven million, five hundred seven thousand, two hundred sixty-four".