642384 has 40 divisors (see below), whose sum is σ = 1845120. Its totient is φ = 213984.

The previous prime is 642373. The next prime is 642403. The reversal of 642384 is 483246.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 642384.

It is an unprimeable number.

642384 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 7 ways as a sum of consecutive naturals, for example, 312 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (46128).

642384 is a Friedman number, since it can be written as 6^8-42^4/3, using all its digits and the basic arithmetic operations.

2⁶⁴²³⁸⁴ is an apocalyptic number.

It is an amenable number.

642384 is an abundant number, since it is smaller than the sum of its proper divisors (1202736).

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

642384 is a wasteful number, since it uses less digits than its factorization.

642384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1492 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 642384 is about 801.4886150158. The cubic root of 642384 is about 86.2842586024.

Adding to 642384 its sum of digits (27), we get a triangular number (642411 = T₁₁₃₃).

The spelling of 642384 in words is "six hundred forty-two thousand, three hundred eighty-four".