668055120 has 160 divisors (see below), whose sum is σ = 2223821952. Its totient is φ = 165298176.

The previous prime is 668055119. The next prime is 668055121. The reversal of 668055120 is 21550866.

668055120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (668055119) and next prime (668055121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668055121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296719 + ... + 298961.

Almost surely, 2^668055120 is an apocalyptic number.

668055120 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 668055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111910976).

668055120 is an abundant number, since it is smaller than the sum of its proper divisors (1555766832).

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

668055120 is a wasteful number, since it uses less digits than its factorization.

668055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 668055120 is about 25846.7622730585. The cubic root of 668055120 is about 874.1865070542.

The spelling of 668055120 in words is "six hundred sixty-eight million, fifty-five thousand, one hundred twenty".