642500 has 30 divisors (see below), whose sum is σ = 1410486. Its totient is φ = 256000.

The previous prime is 642487. The next prime is 642517. The reversal of 642500 is 5246.

642500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 73984 + 568516 = 272^2 + 754^2 .

It is a congruent number.

It is an unprimeable number.

642500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2372 + ... + 2628.

2⁶⁴²⁵⁰⁰ 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 642500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705243).

642500 is an abundant number, since it is smaller than the sum of its proper divisors (767986).

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

642500 is a wasteful number, since it uses less digits than its factorization.

642500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 642500 is about 801.5609770941. The cubic root of 642500 is about 86.2894519507.

Adding to 642500 its reverse (5246), we get a palindrome (647746).

It can be divided in two parts, 64 and 2500, that multiplied together give a 4-th power (160000 = 20⁴).

The spelling of 642500 in words is "six hundred forty-two thousand, five hundred".