11506416 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 3533824.

The previous prime is 11506393. The next prime is 11506421. The reversal of 11506416 is 61460511.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48025 + ... + 48263.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^11506416 is an apocalyptic number.

11506416 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 11506416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

11506416 is an abundant number, since it is smaller than the sum of its proper divisors (20634384).

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

11506416 is a wasteful number, since it uses less digits than its factorization.

11506416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11506416 is about 3392.1108472454. The cubic root of 11506416 is about 225.7598409512.

Adding to 11506416 its reverse (61460511), we get a palindrome (72966927).

The spelling of 11506416 in words is "eleven million, five hundred six thousand, four hundred sixteen".