618336 has 72 divisors (see below), whose sum is σ = 1867320. Its totient is φ = 193536.

The previous prime is 618329. The next prime is 618337. The reversal of 618336 is 633816.

618336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (618337) by changing a digit.

618336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5416 + ... + 5528.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2⁶¹⁸³³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 618336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933660).

618336 is an abundant number, since it is smaller than the sum of its proper divisors (1248984).

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

618336 is a wasteful number, since it uses less digits than its factorization.

618336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 618336 is about 786.3434364195. The cubic root of 618336 is about 85.1938367558.

The spelling of 618336 in words is "six hundred eighteen thousand, three hundred thirty-six".