643622112 has 240 divisors, whose sum is σ = 2278362240. Its totient is φ = 174120192.

The previous prime is 643622099. The next prime is 643622113. The reversal of 643622112 is 211226346.

643622112 is a `hidden beast` number, since 6 + 436 + 221 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643622113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343803 + ... + 345669.

It is an arithmetic number, because the mean of its divisors is an integer number (9493176).

Almost surely, 2^643622112 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 643622112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139181120).

643622112 is an abundant number, since it is smaller than the sum of its proper divisors (1634740128).

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

643622112 is a wasteful number, since it uses less digits than its factorization.

643622112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1898 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 643622112 is about 25369.7085517355. The cubic root of 643622112 is about 863.3965693938.

Adding to 643622112 its reverse (211226346), we get a palindrome (854848458).

The spelling of 643622112 in words is "six hundred forty-three million, six hundred twenty-two thousand, one hundred twelve".