11224080 has 240 divisors, whose sum is σ = 45961344. Its totient is φ = 2396160.

The previous prime is 11224043. The next prime is 11224091. The reversal of 11224080 is 8042211.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85615 + ... + 85745.

Almost surely, 2^11224080 is an apocalyptic number.

11224080 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 11224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672).

11224080 is an abundant number, since it is smaller than the sum of its proper divisors (34737264).

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

11224080 is a wasteful number, since it uses less digits than its factorization.

11224080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11224080 is about 3350.2358125959. The cubic root of 11224080 is about 223.8980190542.

Adding to 11224080 its reverse (8042211), we get a palindrome (19266291).

The spelling of 11224080 in words is "eleven million, two hundred twenty-four thousand, eighty".