668935000 has 80 divisors (see below), whose sum is σ = 1575901800. Its totient is φ = 266112000.

The previous prime is 668934997. The next prime is 668935009. The reversal of 668935000 is 539866.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668935009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1764811 + ... + 1765189.

Almost surely, 2^668935000 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 668935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787950900).

668935000 is an abundant number, since it is smaller than the sum of its proper divisors (906966800).

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

668935000 is a wasteful number, since it uses less digits than its factorization.

668935000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 668935000 is about 25863.7777596391. Note that the first 4 decimals coincide. The cubic root of 668935000 is about 874.5701289831.

The spelling of 668935000 in words is "six hundred sixty-eight million, nine hundred thirty-five thousand".