618816 has 56 divisors (see below), whose sum is σ = 1792224. Its totient is φ = 186880.

The previous prime is 618799. The next prime is 618823.

618816 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

618816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (32004).

2⁶¹⁸⁸¹⁶ is an apocalyptic number.

618816 is a gapful number since it is divisible by the number (66) 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 618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896112).

618816 is an abundant number, since it is smaller than the sum of its proper divisors (1173408).

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

618816 is a wasteful number, since it uses less digits than its factorization.

618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 618816 is about 786.6485873629. The cubic root of 618816 is about 85.2158757253.

It can be divided in two parts, 6 and 18816, that multiplied together give a square (112896 = 336²).

The spelling of 618816 in words is "six hundred eighteen thousand, eight hundred sixteen".