640100160 has 168 divisors, whose sum is σ = 2516282496. Its totient is φ = 146304000.

The previous prime is 640100141. The next prime is 640100161. The reversal of 640100160 is 61001046.

640100160 is a `hidden beast` number, since 640 + 10 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640100161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4285 + ... + 36035.

It is an arithmetic number, because the mean of its divisors is an integer number (14977872).

Almost surely, 2^640100160 is an apocalyptic number.

640100160 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 640100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258141248).

640100160 is an abundant number, since it is smaller than the sum of its proper divisors (1876182336).

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

640100160 is a wasteful number, since it uses less digits than its factorization.

640100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31781 (or 31768 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 640100160 is about 25300.2007897171. The cubic root of 640100160 is about 861.8188295383.

The spelling of 640100160 in words is "six hundred forty million, one hundred thousand, one hundred sixty".