641225088 has 192 divisors, whose sum is σ = 2128389120. Its totient is φ = 181509120.

The previous prime is 641225033. The next prime is 641225093. The reversal of 641225088 is 880522146.

641225088 is a `hidden beast` number, since 641 + 2 + 2 + 5 + 0 + 8 + 8 = 666.

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

It is a super-2 number, since 2×641225088² = 822339226961215488, 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 23 ways as a sum of consecutive naturals, for example, 1056081 + ... + 1056687.

It is an arithmetic number, because the mean of its divisors is an integer number (11085360).

Almost surely, 2^641225088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064194560).

641225088 is an abundant number, since it is smaller than the sum of its proper divisors (1487164032).

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

641225088 is a wasteful number, since it uses less digits than its factorization.

641225088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 641225088 is about 25322.4226329157. The cubic root of 641225088 is about 862.3233947167.

The spelling of 641225088 in words is "six hundred forty-one million, two hundred twenty-five thousand, eighty-eight".