11229840 has 100 divisors (see below), whose sum is σ = 39025404. Its totient is φ = 2992896.

The previous prime is 11229793. The next prime is 11229847. The reversal of 11229840 is 4892211.

It can be written as a sum of positive squares in 2 ways, for example, as 4511376 + 6718464 = 2124^2 + 2592^2 .

It is a super-2 number, since 2×11229840² = 252218612851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11229847) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5614 + ... + 7346.

Almost surely, 2^11229840 is an apocalyptic number.

11229840 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 11229840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512702).

11229840 is an abundant number, since it is smaller than the sum of its proper divisors (27795564).

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

11229840 is a wasteful number, since it uses less digits than its factorization.

11229840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11229840 is about 3351.0953433169. The cubic root of 11229840 is about 223.9363126766.

The spelling of 11229840 in words is "eleven million, two hundred twenty-nine thousand, eight hundred forty".