842688 has 168 divisors, whose sum is σ = 3169920. Its totient is φ = 207360.

The previous prime is 842657. The next prime is 842701. The reversal of 842688 is 886248.

842688 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 (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

842688 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 23 ways as a sum of consecutive naturals, for example, 44343 + ... + 44361.

2⁸⁴²⁶⁸⁸ is an apocalyptic number.

842688 is a gapful number since it is divisible by the number (88) 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 842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584960).

842688 is an abundant number, since it is smaller than the sum of its proper divisors (2327232).

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

842688 is a wasteful number, since it uses less digits than its factorization.

842688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 42 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 842688 is about 917.9803919475. The cubic root of 842688 is about 94.4544165813.

Adding to 842688 its sum of digits (36), we get a square (842724 = 918²).

It can be divided in two parts, 84 and 2688, that added together give a palindrome (2772).

The spelling of 842688 in words is "eight hundred forty-two thousand, six hundred eighty-eight".