842616684 has 288 divisors, whose sum is σ = 2800272384. Its totient is φ = 207567360.

The previous prime is 842616659. The next prime is 842616689. The reversal of 842616684 is 486616248.

It is not an unprimeable number, because it can be changed into a prime (842616689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3993339 + ... + 3993549.

It is an arithmetic number, because the mean of its divisors is an integer number (9723168).

Almost surely, 2^842616684 is an apocalyptic number.

842616684 is a gapful number since it is divisible by the number (84) 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 842616684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400136192).

842616684 is an abundant number, since it is smaller than the sum of its proper divisors (1957655700).

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

842616684 is a wasteful number, since it uses less digits than its factorization.

842616684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 312 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 842616684 is about 29027.8604792017. The cubic root of 842616684 is about 944.5175197262.

The spelling of 842616684 in words is "eight hundred forty-two million, six hundred sixteen thousand, six hundred eighty-four".