11554816 has 104 divisors (see below), whose sum is σ = 29356544. Its totient is φ = 4423680.

The previous prime is 11554813. The next prime is 11554819. The reversal of 11554816 is 61845511.

It is an interprime number because it is at equal distance from previous prime (11554813) and next prime (11554819).

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (31).

Its product of digits (4800) is a multiple of the sum of its prime factors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11554811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372721 + ... + 372751.

Almost surely, 2^11554816 is an apocalyptic number.

11554816 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 11554816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678272).

11554816 is an abundant number, since it is smaller than the sum of its proper divisors (17801728).

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

11554816 is an equidigital number, since it uses as much as digits as its factorization.

11554816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its digits is 4800, while the sum is 31.

The square root of 11554816 is about 3399.2375615717. The cubic root of 11554816 is about 226.0759397084.

The spelling of 11554816 in words is "eleven million, five hundred fifty-four thousand, eight hundred sixteen".