11408220 has 72 divisors (see below), whose sum is σ = 35206080. Its totient is φ = 2989440.

The previous prime is 11408213. The next prime is 11408231. The reversal of 11408220 is 2280411.

11408220 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11408193 and 11408202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10461 + ... + 11499.

Almost surely, 2^11408220 is an apocalyptic number.

11408220 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 11408220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603040).

11408220 is an abundant number, since it is smaller than the sum of its proper divisors (23797860).

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

11408220 is a wasteful number, since it uses less digits than its factorization.

11408220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1110 counting only the distinct ones).

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

The square root of 11408220 is about 3377.6056608195. The cubic root of 11408220 is about 225.1157922512.

Adding to 11408220 its reverse (2280411), we get a palindrome (13688631).

It can be divided in two parts, 11408 and 220, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 11408220 in words is "eleven million, four hundred eight thousand, two hundred twenty".