642048 has 88 divisors (see below), whose sum is σ = 1965120. Its totient is φ = 184320.

The previous prime is 642013. The next prime is 642049. The reversal of 642048 is 840246.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 642048.

It is not an unprimeable number, because it can be changed into a prime (642049) by changing a digit.

642048 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, 33783 + ... + 33801.

2⁶⁴²⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982560).

642048 is an abundant number, since it is smaller than the sum of its proper divisors (1323072).

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

642048 is a wasteful number, since it uses less digits than its factorization.

642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 642048 is about 801.2789776351. The cubic root of 642048 is about 86.2692122713.

It can be divided in two parts, 64 and 2048, that multiplied together give a 17-th power (131072 = 2¹⁷).

The spelling of 642048 in words is "six hundred forty-two thousand, forty-eight".