11238720 has 112 divisors (see below), whose sum is σ = 37307520. Its totient is φ = 2861056.

The previous prime is 11238691. The next prime is 11238727. The reversal of 11238720 is 2783211.

11238720 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 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 (11238727) 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, 21826 + ... + 22334.

Almost surely, 2^11238720 is an apocalyptic number.

11238720 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 11238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653760).

11238720 is an abundant number, since it is smaller than the sum of its proper divisors (26068800).

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

11238720 is a wasteful number, since it uses less digits than its factorization.

11238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

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

The square root of 11238720 is about 3352.4200214174. The cubic root of 11238720 is about 223.9953230316.

The spelling of 11238720 in words is "eleven million, two hundred thirty-eight thousand, seven hundred twenty".