11382720 has 112 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 2974720.

The previous prime is 11382719. The next prime is 11382727. The reversal of 11382720 is 2728311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11382727) 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 15 ways as a sum of consecutive naturals, for example, 68077 + ... + 68243.

It is an arithmetic number, because the mean of its divisors is an integer number (329184).

Almost surely, 2^11382720 is an apocalyptic number.

11382720 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 11382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

11382720 is an abundant number, since it is smaller than the sum of its proper divisors (25485888).

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

11382720 is a wasteful number, since it uses less digits than its factorization.

11382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11382720 is about 3373.8286856330. The cubic root of 11382720 is about 224.9479385720.

The spelling of 11382720 in words is "eleven million, three hundred eighty-two thousand, seven hundred twenty".