11368320 has 128 divisors (see below), whose sum is σ = 37601280. Its totient is φ = 2918400.

The previous prime is 11368309. The next prime is 11368321. The reversal of 11368320 is 2386311.

11368320 is digitally balanced in base 2 and base 4, because in such bases 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 (128).

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 (11368321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59425 + ... + 59615.

It is an arithmetic number, because the mean of its divisors is an integer number (293760).

Almost surely, 2^11368320 is an apocalyptic number.

11368320 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 11368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18800640).

11368320 is an abundant number, since it is smaller than the sum of its proper divisors (26232960).

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

11368320 is a wasteful number, since it uses less digits than its factorization.

11368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11368320 is about 3371.6939362878. The cubic root of 11368320 is about 224.8530398354.

Subtracting from 11368320 its reverse (2386311), we obtain a square (8982009 = 2997²).

The spelling of 11368320 in words is "eleven million, three hundred sixty-eight thousand, three hundred twenty".