641198160 has 320 divisors, whose sum is σ = 2320565760. Its totient is φ = 162570240.

The previous prime is 641198143. The next prime is 641198171. The reversal of 641198160 is 61891146.

It is a happy number.

641198160 is a `hidden beast` number, since 641 + 1 + 9 + 8 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×641198160² = 822270160774771200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 5674264 + ... + 5674376.

It is an arithmetic number, because the mean of its divisors is an integer number (7251768).

Almost surely, 2^641198160 is an apocalyptic number.

641198160 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 641198160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160282880).

641198160 is an abundant number, since it is smaller than the sum of its proper divisors (1679367600).

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

641198160 is a wasteful number, since it uses less digits than its factorization.

641198160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 641198160 is about 25321.8909246525. The cubic root of 641198160 is about 862.3113235684.

The spelling of 641198160 in words is "six hundred forty-one million, one hundred ninety-eight thousand, one hundred sixty".