612180 has 72 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 153792.

The previous prime is 612173. The next prime is 612181. The reversal of 612180 is 81216.

612180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3331 + ... + 3509.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁶¹²¹⁸⁰ is an apocalyptic number.

612180 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 612180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

612180 is an abundant number, since it is smaller than the sum of its proper divisors (1353420).

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

612180 is a wasteful number, since it uses less digits than its factorization.

612180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 208 counting only the distinct ones).

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

The square root of 612180 is about 782.4193249147. The cubic root of 612180 is about 84.9101703824.

Adding to 612180 its reverse (81216), we get a palindrome (693396).

The spelling of 612180 in words is "six hundred twelve thousand, one hundred eighty".