612612 has 144 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 138240.

The previous prime is 612611. The next prime is 612613. The reversal of 612612 is 216216.

Added to its reverse (216216) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (612611) and next prime (612613).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36028 + ... + 36044.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2⁶¹²⁶¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

612612 is an abundant number, since it is smaller than the sum of its proper divisors (1588860).

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

612612 is a wasteful number, since it uses less digits than its factorization.

612612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 53 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 612612 is about 782.6953430295. The cubic root of 612612 is about 84.9301386753.

Adding to 612612 its reverse (216216), we get a palindrome (828828).

The spelling of 612612 in words is "six hundred twelve thousand, six hundred twelve".