618285312 has 126 divisors (see below), whose sum is σ = 1850945222. Its totient is φ = 206032896.

The previous prime is 618285277. The next prime is 618285319. The reversal of 618285312 is 213582816.

It is a happy number.

618285312 is a `hidden beast` number, since 61 + 8 + 285 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 606341376 + 11943936 = 24624^2 + 3456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (618285319) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 184968 + ... + 188280.

Almost surely, 2^618285312 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 618285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925472611).

618285312 is an abundant number, since it is smaller than the sum of its proper divisors (1232659910).

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

618285312 is an frugal number, since it uses more digits than its factorization.

618285312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3318 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 618285312 is about 24865.3435930413. The cubic root of 618285312 is about 851.9150877488.

The spelling of 618285312 in words is "six hundred eighteen million, two hundred eighty-five thousand, three hundred twelve".