842592 has 48 divisors (see below), whose sum is σ = 2261952. Its totient is φ = 274560.

The previous prime is 842587. The next prime is 842599. The reversal of 842592 is 295248.

842592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×842592² = 1419922556928, which contains 22 as substring.

It is a plaindrome in base 13 and base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842599) by changing a digit.

842592 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, 6367 + ... + 6497.

It is an arithmetic number, because the mean of its divisors is an integer number (47124).

2⁸⁴²⁵⁹² 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 842592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130976).

842592 is an abundant number, since it is smaller than the sum of its proper divisors (1419360).

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

842592 is a wasteful number, since it uses less digits than its factorization.

842592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 842592 is about 917.9281017596. The cubic root of 842592 is about 94.4508296593.

The spelling of 842592 in words is "eight hundred forty-two thousand, five hundred ninety-two".