642601000 has 64 divisors (see below), whose sum is σ = 1513633680. Its totient is φ = 255340800.

The previous prime is 642600989. The next prime is 642601021. The reversal of 642601000 is 106246.

It can be written as a sum of positive squares in 8 ways, for example, as 586756 + 642014244 = 766^2 + 25338^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154954 + ... + 159046.

Almost surely, 2^642601000 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 642601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756816840).

642601000 is an abundant number, since it is smaller than the sum of its proper divisors (871032680).

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

642601000 is a wasteful number, since it uses less digits than its factorization.

642601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 642601000 is about 25349.5759333366. The cubic root of 642601000 is about 862.9397323629.

Adding to 642601000 its reverse (106246), we get a palindrome (642707246).

The spelling of 642601000 in words is "six hundred forty-two million, six hundred one thousand".