842450616 has 192 divisors, whose sum is σ = 2720390400. Its totient is φ = 230515200.

The previous prime is 842450611. The next prime is 842450617. The reversal of 842450616 is 616054248.

842450616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842450611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218831 + ... + 1219521.

It is an arithmetic number, because the mean of its divisors is an integer number (14168700).

Almost surely, 2^842450616 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 842450616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360195200).

842450616 is an abundant number, since it is smaller than the sum of its proper divisors (1877939784).

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

842450616 is a wasteful number, since it uses less digits than its factorization.

842450616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 842450616 is about 29024.9998449612. Note that the first 3 decimals coincide. The cubic root of 842450616 is about 944.4554652381.

The spelling of 842450616 in words is "eight hundred forty-two million, four hundred fifty thousand, six hundred sixteen".