11254320 has 360 divisors, whose sum is σ = 49617360. Its totient is φ = 2257920.

The previous prime is 11254303. The next prime is 11254339. The reversal of 11254320 is 2345211.

11254320 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 (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11254293 and 11254302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 388066 + ... + 388094.

It is an arithmetic number, because the mean of its divisors is an integer number (137826).

Almost surely, 2^11254320 is an apocalyptic number.

11254320 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 11254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24808680).

11254320 is an abundant number, since it is smaller than the sum of its proper divisors (38363040).

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

11254320 is a wasteful number, since it uses less digits than its factorization.

11254320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 11254320 is about 3354.7458920163. The cubic root of 11254320 is about 224.0989146479.

Adding to 11254320 its reverse (2345211), we get a palindrome (13599531).

It can be divided in two parts, 1125 and 4320, that added together give a palindrome (5445).

The spelling of 11254320 in words is "eleven million, two hundred fifty-four thousand, three hundred twenty".