642528 has 72 divisors (see below), whose sum is σ = 1926288. Its totient is φ = 202752.

The previous prime is 642527. The next prime is 642529. The reversal of 642528 is 825246.

642528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (642527) and next prime (642529).

It is a tau number, because it is divible by the number of its divisors (72).

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 642528.

It is not an unprimeable number, because it can be changed into a prime (642527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6576 + ... + 6672.

It is an arithmetic number, because the mean of its divisors is an integer number (26754).

2⁶⁴²⁵²⁸ 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 642528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963144).

642528 is an abundant number, since it is smaller than the sum of its proper divisors (1283760).

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

642528 is a wasteful number, since it uses less digits than its factorization.

642528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 642528 is about 801.5784428239. The cubic root of 642528 is about 86.2907054239.

The spelling of 642528 in words is "six hundred forty-two thousand, five hundred twenty-eight".