11384720 has 40 divisors (see below), whose sum is σ = 26750520. Its totient is φ = 4505600.

The previous prime is 11384717. The next prime is 11384741. The reversal of 11384720 is 2748311.

It can be written as a sum of positive squares in 4 ways, for example, as 861184 + 10523536 = 928^2 + 3244^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11384720² = 259223698956800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11384720.

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 7 ways as a sum of consecutive naturals, for example, 7376 + ... + 8784.

It is an arithmetic number, because the mean of its divisors is an integer number (668763).

Almost surely, 2^11384720 is an apocalyptic number.

11384720 is a gapful number since it is divisible by the number (10) 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 11384720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13375260).

11384720 is an abundant number, since it is smaller than the sum of its proper divisors (15365800).

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

11384720 is a wasteful number, since it uses less digits than its factorization.

11384720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 11384720 is about 3374.1250717779. The cubic root of 11384720 is about 224.9611126209.

The spelling of 11384720 in words is "eleven million, three hundred eighty-four thousand, seven hundred twenty".