618120 has 96 divisors (see below), whose sum is σ = 2148120. Its totient is φ = 153600.

The previous prime is 618119. The next prime is 618131. The reversal of 618120 is 21816.

618120 = 27³ + 28³ + ... + 41³.

It can be written as a sum of positive squares in 4 ways, for example, as 617796 + 324 = 786^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 618093 and 618102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6070 + ... + 6170.

2⁶¹⁸¹²⁰ is an apocalyptic number.

618120 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 618120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074060).

618120 is an abundant number, since it is smaller than the sum of its proper divisors (1530000).

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

618120 is a wasteful number, since it uses less digits than its factorization.

618120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 618120 is about 786.2060798544. The cubic root of 618120 is about 85.1839154984.

Adding to 618120 its reverse (21816), we get a palindrome (639936).

The spelling of 618120 in words is "six hundred eighteen thousand, one hundred twenty".