842616 has 64 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 271584.

The previous prime is 842599. The next prime is 842617. The reversal of 842616 is 616248.

842616 is a `hidden beast` number, since 8 + 42 + 616 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 842616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842617) by changing a digit.

842616 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 15 ways as a sum of consecutive naturals, for example, 10111 + ... + 10193.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁸⁴²⁶¹⁶ 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 842616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

842616 is an abundant number, since it is smaller than the sum of its proper divisors (1576584).

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

842616 is a wasteful number, since it uses less digits than its factorization.

842616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 842616 is about 917.9411745858. The cubic root of 842616 is about 94.4517264153.

It can be divided in two parts, 8 and 42616, that added together give a palindrome (42624).

The spelling of 842616 in words is "eight hundred forty-two thousand, six hundred sixteen".