1182816 has 72 divisors (see below), whose sum is σ = 3545640. Its totient is φ = 383616.

The previous prime is 1182791. The next prime is 1182817. The reversal of 1182816 is 6182811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1182816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1182817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31950 + ... + 31986.

It is an arithmetic number, because the mean of its divisors is an integer number (49245).

2^1182816 is an apocalyptic number.

1182816 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 1182816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772820).

1182816 is an abundant number, since it is smaller than the sum of its proper divisors (2362824).

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

1182816 is an equidigital number, since it uses as much as digits as its factorization.

1182816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 42 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 1182816 is about 1087.5734457957. The cubic root of 1182816 is about 105.7561738763.

The spelling of 1182816 in words is "one million, one hundred eighty-two thousand, eight hundred sixteen".