642035000 has 80 divisors (see below), whose sum is σ = 1525761600. Its totient is φ = 253152000.

The previous prime is 642034997. The next prime is 642035003. The reversal of 642035000 is 530246.

It is an interprime number because it is at equal distance from previous prime (642034997) and next prime (642035003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642035003) 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 19 ways as a sum of consecutive naturals, for example, 364121 + ... + 365879.

It is an arithmetic number, because the mean of its divisors is an integer number (19072020).

Almost surely, 2^642035000 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 642035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762880800).

642035000 is an abundant number, since it is smaller than the sum of its proper divisors (883726600).

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

642035000 is a wasteful number, since it uses less digits than its factorization.

642035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 642035000 is about 25338.4095791350. The cubic root of 642035000 is about 862.6863001609.

Adding to 642035000 its reverse (530246), we get a palindrome (642565246).

The spelling of 642035000 in words is "six hundred forty-two million, thirty-five thousand".