668252160 has 192 divisors, whose sum is σ = 2376410400. Its totient is φ = 178126848.

The previous prime is 668252107. The next prime is 668252209. The reversal of 668252160 is 61252866.

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

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 15 ways as a sum of consecutive naturals, for example, 275272 + ... + 277688.

Almost surely, 2^668252160 is an apocalyptic number.

668252160 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 668252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188205200).

668252160 is an abundant number, since it is smaller than the sum of its proper divisors (1708158240).

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

668252160 is a wasteful number, since it uses less digits than its factorization.

668252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 668252160 is about 25850.5736880248. The cubic root of 668252160 is about 874.2724444627.

The spelling of 668252160 in words is "six hundred sixty-eight million, two hundred fifty-two thousand, one hundred sixty".