11355616 has 36 divisors (see below), whose sum is σ = 23618952. Its totient is φ = 5373504.

The previous prime is 11355611. The next prime is 11355649. The reversal of 11355616 is 61655311.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355611) 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 5 ways as a sum of consecutive naturals, for example, 11061 + ... + 12043.

It is an arithmetic number, because the mean of its divisors is an integer number (656082).

Almost surely, 2^11355616 is an apocalyptic number.

11355616 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 11355616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11809476).

11355616 is an abundant number, since it is smaller than the sum of its proper divisors (12263336).

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

11355616 is an equidigital number, since it uses as much as digits as its factorization.

11355616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1004 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

The square root of 11355616 is about 3369.8094901641. The cubic root of 11355616 is about 224.7692515029.

The spelling of 11355616 in words is "eleven million, three hundred fifty-five thousand, six hundred sixteen".