11385312 has 48 divisors (see below), whose sum is σ = 30073680. Its totient is φ = 3771392.

The previous prime is 11385271. The next prime is 11385323. The reversal of 11385312 is 21358311.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 22114 + ... + 22622.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^11385312 is an apocalyptic number.

11385312 is a gapful number since it is divisible by the number (12) 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 11385312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840).

11385312 is an abundant number, since it is smaller than the sum of its proper divisors (18688368).

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

11385312 is a wasteful number, since it uses less digits than its factorization.

11385312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 11385312 is about 3374.2127970832. The cubic root of 11385312 is about 224.9650118435.

The spelling of 11385312 in words is "eleven million, three hundred eighty-five thousand, three hundred twelve".