11200416 has 48 divisors (see below), whose sum is σ = 31135104. Its totient is φ = 3513344.

The previous prime is 11200403. The next prime is 11200451. The reversal of 11200416 is 61400211.

11200416 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 11200395 and 11200404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1800 + ... + 5063.

It is an arithmetic number, because the mean of its divisors is an integer number (648648).

Almost surely, 2^11200416 is an apocalyptic number.

11200416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11200416 is an abundant number, since it is smaller than the sum of its proper divisors (19934688).

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

11200416 is a wasteful number, since it uses less digits than its factorization.

11200416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893 (or 6885 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11200416 is about 3346.7022574469. The cubic root of 11200416 is about 223.7405584689.

Adding to 11200416 its reverse (61400211), we get a palindrome (72600627).

The spelling of 11200416 in words is "eleven million, two hundred thousand, four hundred sixteen".