842632 has 32 divisors (see below), whose sum is σ = 1854720. Its totient is φ = 351360.

The previous prime is 842627. The next prime is 842657. The reversal of 842632 is 236248.

It is a happy number.

842632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 842597 and 842606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2113 + ... + 2479.

It is an arithmetic number, because the mean of its divisors is an integer number (57960).

2⁸⁴²⁶³² is an apocalyptic number.

842632 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927360).

842632 is an abundant number, since it is smaller than the sum of its proper divisors (1012088).

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

842632 is a wasteful number, since it uses less digits than its factorization.

842632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 842632 is about 917.9498896999. The cubic root of 842632 is about 94.4523242432.

It can be divided in two parts, 8 and 42632, that multiplied together give a square (341056 = 584²).

The spelling of 842632 in words is "eight hundred forty-two thousand, six hundred thirty-two".