1186816 has 44 divisors (see below), whose sum is σ = 2538280. Its totient is φ = 552960.

The previous prime is 1186813. The next prime is 1186837. The reversal of 1186816 is 6186811.

1186816 = T₈₈₈ + T₈₈₉ + T₈₉₀.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1186811) 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 3 ways as a sum of consecutive naturals, for example, 19426 + ... + 19486.

2^1186816 is an apocalyptic number.

1186816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1186816 is the 890-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1186816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269140).

1186816 is an abundant number, since it is smaller than the sum of its proper divisors (1351464).

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

1186816 is an equidigital number, since it uses as much as digits as its factorization.

1186816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its digits is 2304, while the sum is 31.

The square root of 1186816 is about 1089.4108499551. The cubic root of 1186816 is about 105.8752537482.

It can be divided in two parts, 1186 and 816, that added together give a palindrome (2002).

The spelling of 1186816 in words is "one million, one hundred eighty-six thousand, eight hundred sixteen".