642592 has 24 divisors (see below), whose sum is σ = 1297296. Its totient is φ = 313152.

The previous prime is 642581. The next prime is 642613. The reversal of 642592 is 295246.

It is a self number, because there is not a number n which added to its sum of digits gives 642592.

It is an unprimeable number.

642592 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 3 ways as a sum of consecutive naturals, for example, 1143 + ... + 1609.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

2⁶⁴²⁵⁹² 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 642592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648648).

642592 is an abundant number, since it is smaller than the sum of its proper divisors (654704).

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

642592 is a wasteful number, since it uses less digits than its factorization.

642592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 642592 is about 801.6183630631. The cubic root of 642592 is about 86.2935703687.

It can be divided in two parts, 64259 and 2, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 642592 in words is "six hundred forty-two thousand, five hundred ninety-two".