11384496 has 120 divisors (see below), whose sum is σ = 34960560. Its totient is φ = 3545856.

The previous prime is 11384473. The next prime is 11384497. The reversal of 11384496 is 69448311.

11384496 = T₄₈ + T₄₉ + ... + T₄₀₈.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (20736) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 11384496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11384497) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 155916 + ... + 155988.

It is an arithmetic number, because the mean of its divisors is an integer number (291338).

Almost surely, 2^11384496 is an apocalyptic number.

11384496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11384496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17480280).

11384496 is an abundant number, since it is smaller than the sum of its proper divisors (23576064).

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

11384496 is a wasteful number, since it uses less digits than its factorization.

11384496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 11384496 is about 3374.0918778243. The cubic root of 11384496 is about 224.9596372042.

The spelling of 11384496 in words is "eleven million, three hundred eighty-four thousand, four hundred ninety-six".