642144 has 24 divisors (see below), whose sum is σ = 1685880. Its totient is φ = 214016.

The previous prime is 642133. The next prime is 642149. The reversal of 642144 is 441246.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 642144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3249 + ... + 3440.

It is an arithmetic number, because the mean of its divisors is an integer number (70245).

2⁶⁴²¹⁴⁴ is an apocalyptic number.

It is an amenable number.

642144 is an abundant number, since it is smaller than the sum of its proper divisors (1043736).

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

642144 is a wasteful number, since it uses less digits than its factorization.

642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6694 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 642144 is about 801.3388796258. The cubic root of 642144 is about 86.2735117586.

The spelling of 642144 in words is "six hundred forty-two thousand, one hundred forty-four".