668597760 has 320 divisors, whose sum is σ = 2519035200. Its totient is φ = 167510016.

The previous prime is 668597747. The next prime is 668597773. The reversal of 668597760 is 67795866.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (668597747) and next prime (668597773).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 668597697 and 668597706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174756 + ... + 1175324.

It is an arithmetic number, because the mean of its divisors is an integer number (7871985).

Almost surely, 2^668597760 is an apocalyptic number.

668597760 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 668597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259517600).

668597760 is an abundant number, since it is smaller than the sum of its proper divisors (1850437440).

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

668597760 is a wasteful number, since it uses less digits than its factorization.

668597760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 668597760 is about 25857.2573951686. The cubic root of 668597760 is about 874.4231343283.

The spelling of 668597760 in words is "six hundred sixty-eight million, five hundred ninety-seven thousand, seven hundred sixty".