618000 has 80 divisors (see below), whose sum is σ = 2011776. Its totient is φ = 163200.

The previous prime is 617983. The next prime is 618029. The reversal of 618000 is 816.

618000 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5949 + ... + 6051.

2⁶¹⁸⁰⁰⁰ is an apocalyptic number.

618000 is a gapful number since it is divisible by the number (60) 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 618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005888).

618000 is an abundant number, since it is smaller than the sum of its proper divisors (1393776).

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

618000 is a wasteful number, since it uses less digits than its factorization.

618000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 618000 is about 786.1297602813. The cubic root of 618000 is about 85.1784026899.

Adding to 618000 its reverse (816), we get a palindrome (618816).

The spelling of 618000 in words is "six hundred eighteen thousand".