11319264 has 120 divisors (see below), whose sum is σ = 36407448. Its totient is φ = 3421440.

The previous prime is 11319227. The next prime is 11319281. The reversal of 11319264 is 46291311.

11319264 = T₁₁ + T₁₂ + ... + T₄₀₇.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28314 + ... + 28710.

Almost surely, 2^11319264 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 11319264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203724).

11319264 is an abundant number, since it is smaller than the sum of its proper divisors (25088184).

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

11319264 is a wasteful number, since it uses less digits than its factorization.

11319264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11319264 is about 3364.4113898273. The cubic root of 11319264 is about 224.5291486831.

The spelling of 11319264 in words is "eleven million, three hundred nineteen thousand, two hundred sixty-four".