642304 has 36 divisors (see below), whose sum is σ = 1387876. Its totient is φ = 294912.

The previous prime is 642281. The next prime is 642359. The reversal of 642304 is 403246.

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 518400 = 352^2 + 720^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 3232 + ... + 3424.

2⁶⁴²³⁰⁴ is an apocalyptic number.

642304 is a gapful number since it is divisible by the number (64) 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 642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693938).

642304 is an abundant number, since it is smaller than the sum of its proper divisors (745572).

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

642304 is a wasteful number, since it uses less digits than its factorization.

642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 642304 is about 801.4387063276. The cubic root of 642304 is about 86.2806766186.

It can be divided in two parts, 642 and 304, that added together give a triangular number (946 = T₄₃).

The spelling of 642304 in words is "six hundred forty-two thousand, three hundred four".