668295360 has 560 divisors, whose sum is σ = 2655417600. Its totient is φ = 158754816.

The previous prime is 668295359. The next prime is 668295389. The reversal of 668295360 is 63592866.

It is a happy number.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 11327011 + ... + 11327069.

Almost surely, 2^668295360 is an apocalyptic number.

668295360 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 668295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327708800).

668295360 is an abundant number, since it is smaller than the sum of its proper divisors (1987122240).

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

668295360 is a wasteful number, since it uses less digits than its factorization.

668295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 668295360 is about 25851.4092459193. The cubic root of 668295360 is about 874.2912835368.

The spelling of 668295360 in words is "six hundred sixty-eight million, two hundred ninety-five thousand, three hundred sixty".