668790144 has 192 divisors, whose sum is σ = 2126638800. Its totient is φ = 200048640.

The previous prime is 668790127. The next prime is 668790169. The reversal of 668790144 is 441097866.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 668790144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127512 + ... + 1128104.

Almost surely, 2^668790144 is an apocalyptic number.

668790144 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 668790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063319400).

668790144 is an abundant number, since it is smaller than the sum of its proper divisors (1457848656).

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

668790144 is a wasteful number, since it uses less digits than its factorization.

668790144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 668790144 is about 25860.9772437161. The cubic root of 668790144 is about 874.5069958554.

The spelling of 668790144 in words is "six hundred sixty-eight million, seven hundred ninety thousand, one hundred forty-four".