842785632 has 144 divisors (see below), whose sum is σ = 2598745968. Its totient is φ = 257541120.

The previous prime is 842785613. The next prime is 842785639. The reversal of 842785632 is 236587248.

842785632 is a `hidden beast` number, since 8 + 4 + 2 + 7 + 8 + 5 + 632 = 666.

842785632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842785639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609582 + ... + 610962.

It is an arithmetic number, because the mean of its divisors is an integer number (18046847).

Almost surely, 2^842785632 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 842785632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299372984).

842785632 is an abundant number, since it is smaller than the sum of its proper divisors (1755960336).

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

842785632 is a wasteful number, since it uses less digits than its factorization.

842785632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1562 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 842785632 is about 29030.7704341445. The cubic root of 842785632 is about 944.5806420154.

The spelling of 842785632 in words is "eight hundred forty-two million, seven hundred eighty-five thousand, six hundred thirty-two".