612066 has 64 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 150336.

The previous prime is 612061. The next prime is 612067. The reversal of 612066 is 660216.

612066 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 (21).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 612066.

It is not an unprimeable number, because it can be changed into a prime (612061) by changing a digit.

612066 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10345 + ... + 10403.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁶¹²⁰⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

612066 is an abundant number, since it is smaller than the sum of its proper divisors (1000734).

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

612066 is a wasteful number, since it uses less digits than its factorization.

612066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 612066 is about 782.3464705615. The cubic root of 612066 is about 84.9048994052.

It can be divided in two parts, 61206 and 6, that multiplied together give a square (367236 = 606²).

The spelling of 612066 in words is "six hundred twelve thousand, sixty-six".