11224680 has 64 divisors (see below), whose sum is σ = 34084800. Its totient is φ = 2956800.

The previous prime is 11224679. The next prime is 11224721. The reversal of 11224680 is 8642211.

It is a super-2 number, since 2×11224680² = 251986882204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11224680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10155 + ... + 11205.

It is an arithmetic number, because the mean of its divisors is an integer number (532575).

Almost surely, 2^11224680 is an apocalyptic number.

11224680 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 11224680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17042400).

11224680 is an abundant number, since it is smaller than the sum of its proper divisors (22860120).

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

11224680 is a wasteful number, since it uses less digits than its factorization.

11224680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11224680 is about 3350.3253573347. The cubic root of 11224680 is about 223.9020085843.

Adding to 11224680 its reverse (8642211), we get a palindrome (19866891).

The spelling of 11224680 in words is "eleven million, two hundred twenty-four thousand, six hundred eighty".