668586240 has 216 divisors, whose sum is σ = 2644020288. Its totient is φ = 152801280.

The previous prime is 668586223. The next prime is 668586253. The reversal of 668586240 is 42685866.

668586240 is a `hidden beast` number, since 6 + 68 + 586 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76495 + ... + 84785.

Almost surely, 2^668586240 is an apocalyptic number.

668586240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322010144).

668586240 is an abundant number, since it is smaller than the sum of its proper divisors (1975434048).

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

668586240 is a wasteful number, since it uses less digits than its factorization.

668586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 668586240 is about 25857.0346327648. The cubic root of 668586240 is about 874.4181121695.

The spelling of 668586240 in words is "six hundred sixty-eight million, five hundred eighty-six thousand, two hundred forty".