639200 has 72 divisors (see below), whose sum is σ = 1687392. Its totient is φ = 235520.

The previous prime is 639181. The next prime is 639211. The reversal of 639200 is 2936.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

639200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13577 + ... + 13623.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁶³⁹²⁰⁰ is an apocalyptic number.

It is a pronic number, being equal to 799×800.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696).

639200 is an abundant number, since it is smaller than the sum of its proper divisors (1048192).

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

639200 is a wasteful number, since it uses less digits than its factorization.

639200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 639200 is about 799.4998436523. The cubic root of 639200 is about 86.1414653847.

The spelling of 639200 in words is "six hundred thirty-nine thousand, two hundred".