612510066 has 64 divisors (see below), whose sum is σ = 1565640960. Its totient is φ = 173871360.

The previous prime is 612510061. The next prime is 612510071. The reversal of 612510066 is 660015216.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (612510061) and next prime (612510071).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (612510061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54186 + ... + 64506.

It is an arithmetic number, because the mean of its divisors is an integer number (24463140).

Almost surely, 2^612510066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612510066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782820480).

612510066 is an abundant number, since it is smaller than the sum of its proper divisors (953130894).

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

612510066 is a wasteful number, since it uses less digits than its factorization.

612510066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 612510066 is about 24748.9407046039. The cubic root of 612510066 is about 849.2542783658.

The spelling of 612510066 in words is "six hundred twelve million, five hundred ten thousand, sixty-six".