11268624 has 40 divisors (see below), whose sum is σ = 30053632. Its totient is φ = 3634560.

The previous prime is 11268619. The next prime is 11268641. The reversal of 11268624 is 42686211.

11268624 = 5⁴ + 6⁴ + ... + 35⁴.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11268591 and 11268600.

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 7 ways as a sum of consecutive naturals, for example, 2299 + ... + 5274.

Almost surely, 2^11268624 is an apocalyptic number.

It is an amenable number.

11268624 is an abundant number, since it is smaller than the sum of its proper divisors (18785008).

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

11268624 is a wasteful number, since it uses less digits than its factorization.

11268624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7609 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 11268624 is about 3356.8771201818. The cubic root of 11268624 is about 224.1938160957.

The spelling of 11268624 in words is "eleven million, two hundred sixty-eight thousand, six hundred twenty-four".