667100160 has 264 divisors, whose sum is σ = 2391158016. Its totient is φ = 171786240.

The previous prime is 667100153. The next prime is 667100177. The reversal of 667100160 is 61001766.

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, 1428247 + ... + 1428713.

Almost surely, 2^667100160 is an apocalyptic number.

667100160 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 667100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195579008).

667100160 is an abundant number, since it is smaller than the sum of its proper divisors (1724057856).

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

667100160 is a wasteful number, since it uses less digits than its factorization.

667100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 667100160 is about 25828.2821728430. The cubic root of 667100160 is about 873.7697693649.

The spelling of 667100160 in words is "six hundred sixty-seven million, one hundred thousand, one hundred sixty".