11264001 has 16 divisors (see below), whose sum is σ = 17211264. Its totient is φ = 6418944.

The previous prime is 11263999. The next prime is 11264009. The reversal of 11264001 is 10046211.

It is not a de Polignac number, because 11264001 - 2¹ = 11263999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11264009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13735 + ... + 14531.

It is an arithmetic number, because the mean of its divisors is an integer number (1075704).

It is a Proth number, since it is equal to 1375 ⋅ 2¹³ + 1 and 1375 < 2¹³.

Almost surely, 2^11264001 is an apocalyptic number.

It is an amenable number.

11264001 is a deficient number, since it is larger than the sum of its proper divisors (5947263).

11264001 is an equidigital number, since it uses as much as digits as its factorization.

11264001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11264001 is about 3356.1884631230. The cubic root of 11264001 is about 224.1631530860.

The spelling of 11264001 in words is "eleven million, two hundred sixty-four thousand, one".