642510 has 72 divisors (see below), whose sum is σ = 1867320. Its totient is φ = 153120.

The previous prime is 642487. The next prime is 642517. The reversal of 642510 is 15246.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 642510.

It is not an unprimeable number, because it can be changed into a prime (642517) by changing a digit.

642510 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 35 ways as a sum of consecutive naturals, for example, 10861 + ... + 10919.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2⁶⁴²⁵¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933660).

642510 is an abundant number, since it is smaller than the sum of its proper divisors (1224810).

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

642510 is a wasteful number, since it uses less digits than its factorization.

642510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 642510 is about 801.5672148984. The cubic root of 642510 is about 86.2898996239.

Adding to 642510 its reverse (15246), we get a palindrome (657756).

Subtracting from 642510 its reverse (15246), we obtain a square (627264 = 792²).

The spelling of 642510 in words is "six hundred forty-two thousand, five hundred ten".