842563512 has 256 divisors, whose sum is σ = 2849280000. Its totient is φ = 225348480.

The previous prime is 842563511. The next prime is 842563523. The reversal of 842563512 is 215365248.

842563512 is a `hidden beast` number, since 8 + 4 + 2 + 5 + 635 + 12 = 666.

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 (842563511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3993087 + ... + 3993297.

It is an arithmetic number, because the mean of its divisors is an integer number (11130000).

Almost surely, 2^842563512 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 842563512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424640000).

842563512 is an abundant number, since it is smaller than the sum of its proper divisors (2006716488).

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

842563512 is a wasteful number, since it uses less digits than its factorization.

842563512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 842563512 is about 29026.9445860221. The cubic root of 842563512 is about 944.4976518777.

The spelling of 842563512 in words is "eight hundred forty-two million, five hundred sixty-three thousand, five hundred twelve".