646146100 has 72 divisors (see below), whose sum is σ = 1466078040. Its totient is φ = 246865920.

The previous prime is 646146077. The next prime is 646146121. The reversal of 646146100 is 1641646.

It can be written as a sum of positive squares in 12 ways, for example, as 183982096 + 462164004 = 13564^2 + 21498^2 .

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, 280152 + ... + 282448.

It is an arithmetic number, because the mean of its divisors is an integer number (20362195).

Almost surely, 2^646146100 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 646146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733039020).

646146100 is an abundant number, since it is smaller than the sum of its proper divisors (819931940).

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

646146100 is a wasteful number, since it uses less digits than its factorization.

646146100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 646146100 is about 25419.4040056017. The cubic root of 646146100 is about 864.5237111963.

Adding to 646146100 its reverse (1641646), we get a palindrome (647787746).

The spelling of 646146100 in words is "six hundred forty-six million, one hundred forty-six thousand, one hundred".