641184288 has 48 divisors (see below), whose sum is σ = 1688188320. Its totient is φ = 213083136.

The previous prime is 641184251. The next prime is 641184289. The reversal of 641184288 is 882481146.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×641184288² = 822234582356133888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (641184289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22443 + ... + 42261.

It is an arithmetic number, because the mean of its divisors is an integer number (35170590).

Almost surely, 2^641184288 is an apocalyptic number.

It is an amenable number.

641184288 is an abundant number, since it is smaller than the sum of its proper divisors (1047004032).

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

641184288 is a wasteful number, since it uses less digits than its factorization.

641184288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20169 (or 20161 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 641184288 is about 25321.6170099779. The cubic root of 641184288 is about 862.3051049661.

The spelling of 641184288 in words is "six hundred forty-one million, one hundred eighty-four thousand, two hundred eighty-eight".