66868704 has 144 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 18616320.

The previous prime is 66868699. The next prime is 66868717. The reversal of 66868704 is 40786866.

It is a happy number.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66868704.

It is a congruent number.

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, 82252 + ... + 83060.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^66868704 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 66868704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

66868704 is an abundant number, since it is smaller than the sum of its proper divisors (156030336).

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

66868704 is a wasteful number, since it uses less digits than its factorization.

66868704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 66868704 is about 8177.3286591649. The cubic root of 66868704 is about 405.8893305743.

The spelling of 66868704 in words is "sixty-six million, eight hundred sixty-eight thousand, seven hundred four".