11393920 has 64 divisors (see below), whose sum is σ = 28702800. Its totient is φ = 4313088.

The previous prime is 11393873. The next prime is 11393923. The reversal of 11393920 is 2939311.

11393920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11393923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11692 + ... + 12628.

Almost surely, 2^11393920 is an apocalyptic number.

11393920 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 11393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14351400).

11393920 is an abundant number, since it is smaller than the sum of its proper divisors (17308880).

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

11393920 is an equidigital number, since it uses as much as digits as its factorization.

11393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 11393920 is about 3375.4881128512. The cubic root of 11393920 is about 225.0216933816.

The spelling of 11393920 in words is "eleven million, three hundred ninety-three thousand, nine hundred twenty".