668684160 has 160 divisors (see below), whose sum is σ = 2388177000. Its totient is φ = 178301952.

The previous prime is 668684113. The next prime is 668684189. The reversal of 668684160 is 61486866.

It is a tau number, because it is divible by the number of its divisors (160).

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45391 + ... + 58289.

Almost surely, 2^668684160 is an apocalyptic number.

668684160 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 668684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194088500).

668684160 is an abundant number, since it is smaller than the sum of its proper divisors (1719492840).

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

668684160 is a wasteful number, since it uses less digits than its factorization.

668684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12930 (or 12909 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 668684160 is about 25858.9280520288. The cubic root of 668684160 is about 874.4607986805.

The spelling of 668684160 in words is "six hundred sixty-eight million, six hundred eighty-four thousand, one hundred sixty".