664110306 has 64 divisors (see below), whose sum is σ = 1569724800. Its totient is φ = 207525888.

The previous prime is 664110301. The next prime is 664110311. The reversal of 664110306 is 603011466.

664110306 is a `hidden beast` number, since 6 + 641 + 10 + 3 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (664110301) and next prime (664110311).

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

It is a self number, because there is not a number n which added to its sum of digits gives 664110306.

It is not an unprimeable number, because it can be changed into a prime (664110301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96186 + ... + 102858.

It is an arithmetic number, because the mean of its divisors is an integer number (24526950).

Almost surely, 2^664110306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664110306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784862400).

664110306 is an abundant number, since it is smaller than the sum of its proper divisors (905614494).

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

664110306 is a wasteful number, since it uses less digits than its factorization.

664110306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 6794 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 664110306 is about 25770.3377160642. The cubic root of 664110306 is about 872.4624411108.

The spelling of 664110306 in words is "six hundred sixty-four million, one hundred ten thousand, three hundred six".