11306416 has 40 divisors (see below), whose sum is σ = 24087744. Its totient is φ = 5098560.

The previous prime is 11306389. The next prime is 11306419. The reversal of 11306416 is 61460311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11306419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39811 + ... + 40093.

Almost surely, 2^11306416 is an apocalyptic number.

11306416 is a gapful number since it is divisible by the number (16) 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 11306416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12043872).

11306416 is an abundant number, since it is smaller than the sum of its proper divisors (12781328).

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

11306416 is a wasteful number, since it uses less digits than its factorization.

11306416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 11306416 is about 3362.5014498138. The cubic root of 11306416 is about 224.4441654591. Note that the first 3 decimals are identical.

Adding to 11306416 its reverse (61460311), we get a palindrome (72766727).

The spelling of 11306416 in words is "eleven million, three hundred six thousand, four hundred sixteen".