612000 has 144 divisors (see below), whose sum is σ = 2299752. Its totient is φ = 153600.

The previous prime is 611999. The next prime is 612011. The reversal of 612000 is 216.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 345744 = 516^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 612000.

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, 35992 + ... + 36008.

2⁶¹²⁰⁰⁰ is an apocalyptic number.

612000 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 612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149876).

612000 is an abundant number, since it is smaller than the sum of its proper divisors (1687752).

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

612000 is a wasteful number, since it uses less digits than its factorization.

612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 612000 is about 782.3042886243. The cubic root of 612000 is about 84.9018474878.

Adding to 612000 its reverse (216), we get a palindrome (612216).

The spelling of 612000 in words is "six hundred twelve thousand".