842639616 has 216 divisors, whose sum is σ = 2990944320. Its totient is φ = 222179328.

The previous prime is 842639599. The next prime is 842639617. The reversal of 842639616 is 616936248.

842639616 is a `hidden beast` number, since 8 + 4 + 2 + 639 + 6 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (842639617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207655 + ... + 211673.

Almost surely, 2^842639616 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 842639616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495472160).

842639616 is an abundant number, since it is smaller than the sum of its proper divisors (2148304704).

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

842639616 is a wasteful number, since it uses less digits than its factorization.

842639616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4044 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 842639616 is about 29028.2554763458. The cubic root of 842639616 is about 944.5260880665.

The spelling of 842639616 in words is "eight hundred forty-two million, six hundred thirty-nine thousand, six hundred sixteen".