642600 has 192 divisors, whose sum is σ = 2678400. Its totient is φ = 138240.

The previous prime is 642581. The next prime is 642613. The reversal of 642600 is 6246.

642600 = 13² + 14² + ... + 124².

642600 is a `hidden beast` number, since 64 + 2 + 600 = 666.

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

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 642600.

It is an unprimeable number.

642600 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 47 ways as a sum of consecutive naturals, for example, 37792 + ... + 37808.

It is an arithmetic number, because the mean of its divisors is an integer number (13950).

2⁶⁴²⁶⁰⁰ is an apocalyptic number.

642600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

642600 is an abundant number, since it is smaller than the sum of its proper divisors (2035800).

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

642600 is a wasteful number, since it uses less digits than its factorization.

642600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 642600 is about 801.6233529532. The cubic root of 642600 is about 86.2939284734.

Adding to 642600 its reverse (6246), we get a palindrome (648846).

The spelling of 642600 in words is "six hundred forty-two thousand, six hundred".