842505216 has 264 divisors, whose sum is σ = 2716287120. Its totient is φ = 231211008.

The previous prime is 842505161. The next prime is 842505229. The reversal of 842505216 is 612505248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4365216 + ... + 4365408.

Almost surely, 2^842505216 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 842505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358143560).

842505216 is an abundant number, since it is smaller than the sum of its proper divisors (1873781904).

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

842505216 is a wasteful number, since it uses less digits than its factorization.

842505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 842505216 is about 29025.9403982024. The cubic root of 842505216 is about 944.4758684733.

The spelling of 842505216 in words is "eight hundred forty-two million, five hundred five thousand, two hundred sixteen".