668191104 has 384 divisors, whose sum is σ = 2352430080. Its totient is φ = 178053120.

The previous prime is 668191093. The next prime is 668191127. The reversal of 668191104 is 401191866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14216809 + ... + 14216855.

It is an arithmetic number, because the mean of its divisors is an integer number (6126120).

Almost surely, 2^668191104 is an apocalyptic number.

668191104 is a gapful number since it is divisible by the number (64) 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 668191104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176215040).

668191104 is an abundant number, since it is smaller than the sum of its proper divisors (1684238976).

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

668191104 is a wasteful number, since it uses less digits than its factorization.

668191104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 668191104 is about 25849.3927201395. The cubic root of 668191104 is about 874.2458171867.

The spelling of 668191104 in words is "six hundred sixty-eight million, one hundred ninety-one thousand, one hundred four".